nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
9,
55,
89,
58
] | 74 | [
"55+89=144",
"144/9=16",
"58+16=74"
] | Current State: 74:[9, 55, 89, 58], Operations: []
Exploring Operation: 55+89=144, Resulting Numbers: [9, 58, 144]
Generated Node #2: [9, 58, 144] from Operation: 55+89=144
Current State: 74:[9, 58, 144], Operations: ['55+89=144']
Exploring Operation: 144/9=16, Resulting Numbers: [58, 16]
Generated Node #3: [58, 16] from Operation: 144/9=16
Current State: 74:[58, 16], Operations: ['55+89=144', '144/9=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
37,
67,
4,
53
] | 87 | [
"67-37=30",
"4+53=57",
"30+57=87"
] | Current State: 87:[37, 67, 4, 53], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [4, 53, 30]
Generated Node #2: [4, 53, 30] from Operation: 67-37=30
Current State: 87:[4, 53, 30], Operations: ['67-37=30']
Exploring Operation: 4+53=57, Resulting Numbers: [30, 57]
Generated Node #3: [30, 57] from Operation: 4+53=57
Current State: 87:[30, 57], Operations: ['67-37=30', '4+53=57']
Exploring Operation: 30+57=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
81,
64,
79
] | 38 | [
"24+81=105",
"64+79=143",
"143-105=38"
] | Current State: 38:[24, 81, 64, 79], Operations: []
Exploring Operation: 24+81=105, Resulting Numbers: [64, 79, 105]
Generated Node #2: [64, 79, 105] from Operation: 24+81=105
Current State: 38:[64, 79, 105], Operations: ['24+81=105']
Exploring Operation: 64+79=143, Resulting Numbers: [105, 143]
Generated Node #3: [105, 143] from Operation: 64+79=143
Current State: 38:[105, 143], Operations: ['24+81=105', '64+79=143']
Exploring Operation: 143-105=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
39,
59,
44,
2
] | 62 | [
"59-39=20",
"44-2=42",
"20+42=62"
] | Current State: 62:[39, 59, 44, 2], Operations: []
Exploring Operation: 59-39=20, Resulting Numbers: [44, 2, 20]
Generated Node #2: [44, 2, 20] from Operation: 59-39=20
Current State: 62:[44, 2, 20], Operations: ['59-39=20']
Exploring Operation: 44-2=42, Resulting Numbers: [20, 42]
Generated Node #3: [20, 42] from Operation: 44-2=42
Current State: 62:[20, 42], Operations: ['59-39=20', '44-2=42']
Exploring Operation: 20+42=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
51,
78,
64
] | 89 | [
"24+51=75",
"78-64=14",
"75+14=89"
] | Current State: 89:[24, 51, 78, 64], Operations: []
Exploring Operation: 24+51=75, Resulting Numbers: [78, 64, 75]
Generated Node #2: [78, 64, 75] from Operation: 24+51=75
Current State: 89:[78, 64, 75], Operations: ['24+51=75']
Exploring Operation: 78-64=14, Resulting Numbers: [75, 14]
Generated Node #3: [75, 14] from Operation: 78-64=14
Current State: 89:[75, 14], Operations: ['24+51=75', '78-64=14']
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
59,
28,
31
] | 73 | [
"59+31=90",
"90/2=45",
"28+45=73"
] | Current State: 73:[2, 59, 28, 31], Operations: []
Exploring Operation: 59+31=90, Resulting Numbers: [2, 28, 90]
Generated Node #2: [2, 28, 90] from Operation: 59+31=90
Current State: 73:[2, 28, 90], Operations: ['59+31=90']
Exploring Operation: 90/2=45, Resulting Numbers: [28, 45]
Generated Node #3: [28, 45] from Operation: 90/2=45
Current State: 73:[28, 45], Operations: ['59+31=90', '90/2=45']
Exploring Operation: 28+45=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
72,
6,
6,
78
] | 76 | [
"72/6=12",
"12/6=2",
"78-2=76"
] | Current State: 76:[72, 6, 6, 78], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [78, 12]
Generated Node #2: [78, 12] from Operation: 72/6=12
Current State: 76:[78, 12], Operations: ['72/6=12']
Exploring Operation: 12/6=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 12/6=2
Current State: 76:[78, 2], Operations: ['72/6=12', '12/6=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
77,
2,
44,
22
] | 55 | [
"44+22=66",
"2*66=132",
"132-77=55"
] | Current State: 55:[77, 2, 44, 22], Operations: []
Exploring Operation: 44+22=66, Resulting Numbers: [77, 2, 66]
Generated Node #2: [77, 2, 66] from Operation: 44+22=66
Current State: 55:[77, 2, 66], Operations: ['44+22=66']
Exploring Operation: 2*66=132, Resulting Numbers: [77, 132]
Generated Node #3: [77, 132] from Operation: 2*66=132
Current State: 55:[77, 132], Operations: ['44+22=66', '2*66=132']
Exploring Operation: 132-77=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
17,
93,
94,
60
] | 77 | [
"17+60=77",
"94-93=1",
"77*1=77"
] | Current State: 77:[17, 93, 94, 60], Operations: []
Exploring Operation: 17+60=77, Resulting Numbers: [93, 94, 77]
Generated Node #2: [93, 94, 77] from Operation: 17+60=77
Current State: 77:[93, 94, 77], Operations: ['17+60=77']
Exploring Operation: 94-93=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 94-93=1
Current State: 77:[77, 1], Operations: ['17+60=77', '94-93=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
96,
16,
58,
84
] | 62 | [
"96-16=80",
"58+84=142",
"142-80=62"
] | Current State: 62:[96, 16, 58, 84], Operations: []
Exploring Operation: 96-16=80, Resulting Numbers: [58, 84, 80]
Generated Node #2: [58, 84, 80] from Operation: 96-16=80
Current State: 62:[58, 84, 80], Operations: ['96-16=80']
Exploring Operation: 58+84=142, Resulting Numbers: [80, 142]
Generated Node #3: [80, 142] from Operation: 58+84=142
Current State: 62:[80, 142], Operations: ['96-16=80', '58+84=142']
Exploring Operation: 142-80=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
29,
72,
63,
95
] | 11 | [
"72-29=43",
"95-63=32",
"43-32=11"
] | Current State: 11:[29, 72, 63, 95], Operations: []
Exploring Operation: 72-29=43, Resulting Numbers: [63, 95, 43]
Generated Node #2: [63, 95, 43] from Operation: 72-29=43
Current State: 11:[63, 95, 43], Operations: ['72-29=43']
Exploring Operation: 95-63=32, Resulting Numbers: [43, 32]
Generated Node #3: [43, 32] from Operation: 95-63=32
Current State: 11:[43, 32], Operations: ['72-29=43', '95-63=32']
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
84,
44,
75,
88
] | 35 | [
"84+44=128",
"75+88=163",
"163-128=35"
] | Current State: 35:[84, 44, 75, 88], Operations: []
Exploring Operation: 84+44=128, Resulting Numbers: [75, 88, 128]
Generated Node #2: [75, 88, 128] from Operation: 84+44=128
Current State: 35:[75, 88, 128], Operations: ['84+44=128']
Exploring Operation: 75+88=163, Resulting Numbers: [128, 163]
Generated Node #3: [128, 163] from Operation: 75+88=163
Current State: 35:[128, 163], Operations: ['84+44=128', '75+88=163']
Exploring Operation: 163-128=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
96,
19,
58,
5
] | 99 | [
"58-19=39",
"5*39=195",
"195-96=99"
] | Current State: 99:[96, 19, 58, 5], Operations: []
Exploring Operation: 58-19=39, Resulting Numbers: [96, 5, 39]
Generated Node #2: [96, 5, 39] from Operation: 58-19=39
Current State: 99:[96, 5, 39], Operations: ['58-19=39']
Exploring Operation: 5*39=195, Resulting Numbers: [96, 195]
Generated Node #3: [96, 195] from Operation: 5*39=195
Current State: 99:[96, 195], Operations: ['58-19=39', '5*39=195']
Exploring Operation: 195-96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
13,
58,
50,
41
] | 36 | [
"58-13=45",
"50-41=9",
"45-9=36"
] | Current State: 36:[13, 58, 50, 41], Operations: []
Exploring Operation: 58-13=45, Resulting Numbers: [50, 41, 45]
Generated Node #2: [50, 41, 45] from Operation: 58-13=45
Current State: 36:[50, 41, 45], Operations: ['58-13=45']
Exploring Operation: 50-41=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 50-41=9
Current State: 36:[45, 9], Operations: ['58-13=45', '50-41=9']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
29,
2,
12,
17
] | 29 | [
"29*2=58",
"12+17=29",
"58-29=29"
] | Current State: 29:[29, 2, 12, 17], Operations: []
Exploring Operation: 29*2=58, Resulting Numbers: [12, 17, 58]
Generated Node #2: [12, 17, 58] from Operation: 29*2=58
Current State: 29:[12, 17, 58], Operations: ['29*2=58']
Exploring Operation: 12+17=29, Resulting Numbers: [58, 29]
Generated Node #3: [58, 29] from Operation: 12+17=29
Current State: 29:[58, 29], Operations: ['29*2=58', '12+17=29']
Exploring Operation: 58-29=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
39,
24,
56,
45
] | 26 | [
"39-24=15",
"56-45=11",
"15+11=26"
] | Current State: 26:[39, 24, 56, 45], Operations: []
Exploring Operation: 39-24=15, Resulting Numbers: [56, 45, 15]
Generated Node #2: [56, 45, 15] from Operation: 39-24=15
Current State: 26:[56, 45, 15], Operations: ['39-24=15']
Exploring Operation: 56-45=11, Resulting Numbers: [15, 11]
Generated Node #3: [15, 11] from Operation: 56-45=11
Current State: 26:[15, 11], Operations: ['39-24=15', '56-45=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
77,
12,
47,
64
] | 15 | [
"77+64=141",
"141/47=3",
"12+3=15"
] | Current State: 15:[77, 12, 47, 64], Operations: []
Exploring Operation: 77+64=141, Resulting Numbers: [12, 47, 141]
Generated Node #2: [12, 47, 141] from Operation: 77+64=141
Current State: 15:[12, 47, 141], Operations: ['77+64=141']
Exploring Operation: 141/47=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 141/47=3
Current State: 15:[12, 3], Operations: ['77+64=141', '141/47=3']
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
7,
42,
2
] | 98 | [
"4*7=28",
"2*28=56",
"42+56=98"
] | Current State: 98:[4, 7, 42, 2], Operations: []
Exploring Operation: 4*7=28, Resulting Numbers: [42, 2, 28]
Generated Node #2: [42, 2, 28] from Operation: 4*7=28
Current State: 98:[42, 2, 28], Operations: ['4*7=28']
Exploring Operation: 2*28=56, Resulting Numbers: [42, 56]
Generated Node #3: [42, 56] from Operation: 2*28=56
Current State: 98:[42, 56], Operations: ['4*7=28', '2*28=56']
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
3,
26,
10,
4
] | 24 | [
"3*4=12",
"26+10=36",
"36-12=24"
] | Current State: 24:[3, 26, 10, 4], Operations: []
Exploring Operation: 3*4=12, Resulting Numbers: [26, 10, 12]
Generated Node #2: [26, 10, 12] from Operation: 3*4=12
Current State: 24:[26, 10, 12], Operations: ['3*4=12']
Exploring Operation: 26+10=36, Resulting Numbers: [12, 36]
Generated Node #3: [12, 36] from Operation: 26+10=36
Current State: 24:[12, 36], Operations: ['3*4=12', '26+10=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
93,
3,
56,
10
] | 53 | [
"93+56=149",
"10+149=159",
"159/3=53"
] | Current State: 53:[93, 3, 56, 10], Operations: []
Exploring Operation: 93+56=149, Resulting Numbers: [3, 10, 149]
Generated Node #2: [3, 10, 149] from Operation: 93+56=149
Current State: 53:[3, 10, 149], Operations: ['93+56=149']
Exploring Operation: 10+149=159, Resulting Numbers: [3, 159]
Generated Node #3: [3, 159] from Operation: 10+149=159
Current State: 53:[3, 159], Operations: ['93+56=149', '10+149=159']
Exploring Operation: 159/3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
79,
7,
97,
77
] | 92 | [
"79-7=72",
"97-77=20",
"72+20=92"
] | Current State: 92:[79, 7, 97, 77], Operations: []
Exploring Operation: 79-7=72, Resulting Numbers: [97, 77, 72]
Generated Node #2: [97, 77, 72] from Operation: 79-7=72
Current State: 92:[97, 77, 72], Operations: ['79-7=72']
Exploring Operation: 97-77=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 97-77=20
Current State: 92:[72, 20], Operations: ['79-7=72', '97-77=20']
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
48,
31,
93,
87
] | 57 | [
"48*93=4464",
"4464/31=144",
"144-87=57"
] | Current State: 57:[48, 31, 93, 87], Operations: []
Exploring Operation: 48*93=4464, Resulting Numbers: [31, 87, 4464]
Generated Node #2: [31, 87, 4464] from Operation: 48*93=4464
Current State: 57:[31, 87, 4464], Operations: ['48*93=4464']
Exploring Operation: 4464/31=144, Resulting Numbers: [87, 144]
Generated Node #3: [87, 144] from Operation: 4464/31=144
Current State: 57:[87, 144], Operations: ['48*93=4464', '4464/31=144']
Exploring Operation: 144-87=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
34,
7,
4,
29
] | 14 | [
"34-7=27",
"29+27=56",
"56/4=14"
] | Current State: 14:[34, 7, 4, 29], Operations: []
Exploring Operation: 34-7=27, Resulting Numbers: [4, 29, 27]
Generated Node #2: [4, 29, 27] from Operation: 34-7=27
Current State: 14:[4, 29, 27], Operations: ['34-7=27']
Exploring Operation: 29+27=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 29+27=56
Current State: 14:[4, 56], Operations: ['34-7=27', '29+27=56']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
88,
26,
73,
69
] | 16 | [
"73-69=4",
"26*4=104",
"104-88=16"
] | Current State: 16:[88, 26, 73, 69], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [88, 26, 4]
Generated Node #2: [88, 26, 4] from Operation: 73-69=4
Current State: 16:[88, 26, 4], Operations: ['73-69=4']
Exploring Operation: 26*4=104, Resulting Numbers: [88, 104]
Generated Node #3: [88, 104] from Operation: 26*4=104
Current State: 16:[88, 104], Operations: ['73-69=4', '26*4=104']
Exploring Operation: 104-88=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
21,
61,
2,
28
] | 75 | [
"21*2=42",
"61-28=33",
"42+33=75"
] | Current State: 75:[21, 61, 2, 28], Operations: []
Exploring Operation: 21*2=42, Resulting Numbers: [61, 28, 42]
Generated Node #2: [61, 28, 42] from Operation: 21*2=42
Current State: 75:[61, 28, 42], Operations: ['21*2=42']
Exploring Operation: 61-28=33, Resulting Numbers: [42, 33]
Generated Node #3: [42, 33] from Operation: 61-28=33
Current State: 75:[42, 33], Operations: ['21*2=42', '61-28=33']
Exploring Operation: 42+33=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
23,
22,
43,
15
] | 18 | [
"23+43=66",
"66/22=3",
"15+3=18"
] | Current State: 18:[23, 22, 43, 15], Operations: []
Exploring Operation: 23+43=66, Resulting Numbers: [22, 15, 66]
Generated Node #2: [22, 15, 66] from Operation: 23+43=66
Current State: 18:[22, 15, 66], Operations: ['23+43=66']
Exploring Operation: 66/22=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 66/22=3
Current State: 18:[15, 3], Operations: ['23+43=66', '66/22=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
65,
54,
58,
1
] | 47 | [
"65-54=11",
"58*1=58",
"58-11=47"
] | Current State: 47:[65, 54, 58, 1], Operations: []
Exploring Operation: 65-54=11, Resulting Numbers: [58, 1, 11]
Generated Node #2: [58, 1, 11] from Operation: 65-54=11
Current State: 47:[58, 1, 11], Operations: ['65-54=11']
Exploring Operation: 58*1=58, Resulting Numbers: [11, 58]
Generated Node #3: [11, 58] from Operation: 58*1=58
Current State: 47:[11, 58], Operations: ['65-54=11', '58*1=58']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
48,
59,
78,
22
] | 76 | [
"59-48=11",
"22/11=2",
"78-2=76"
] | Current State: 76:[48, 59, 78, 22], Operations: []
Exploring Operation: 59-48=11, Resulting Numbers: [78, 22, 11]
Generated Node #2: [78, 22, 11] from Operation: 59-48=11
Current State: 76:[78, 22, 11], Operations: ['59-48=11']
Exploring Operation: 22/11=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 22/11=2
Current State: 76:[78, 2], Operations: ['59-48=11', '22/11=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
39,
32,
23,
11
] | 83 | [
"39+32=71",
"23-11=12",
"71+12=83"
] | Current State: 83:[39, 32, 23, 11], Operations: []
Exploring Operation: 39+32=71, Resulting Numbers: [23, 11, 71]
Generated Node #2: [23, 11, 71] from Operation: 39+32=71
Current State: 83:[23, 11, 71], Operations: ['39+32=71']
Exploring Operation: 23-11=12, Resulting Numbers: [71, 12]
Generated Node #3: [71, 12] from Operation: 23-11=12
Current State: 83:[71, 12], Operations: ['39+32=71', '23-11=12']
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
3,
29,
21,
24
] | 84 | [
"3*29=87",
"24-21=3",
"87-3=84"
] | Current State: 84:[3, 29, 21, 24], Operations: []
Exploring Operation: 3*29=87, Resulting Numbers: [21, 24, 87]
Generated Node #2: [21, 24, 87] from Operation: 3*29=87
Current State: 84:[21, 24, 87], Operations: ['3*29=87']
Exploring Operation: 24-21=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 24-21=3
Current State: 84:[87, 3], Operations: ['3*29=87', '24-21=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
47,
90,
3,
22
] | 62 | [
"90-47=43",
"22-3=19",
"43+19=62"
] | Current State: 62:[47, 90, 3, 22], Operations: []
Exploring Operation: 90-47=43, Resulting Numbers: [3, 22, 43]
Generated Node #2: [3, 22, 43] from Operation: 90-47=43
Current State: 62:[3, 22, 43], Operations: ['90-47=43']
Exploring Operation: 22-3=19, Resulting Numbers: [43, 19]
Generated Node #3: [43, 19] from Operation: 22-3=19
Current State: 62:[43, 19], Operations: ['90-47=43', '22-3=19']
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
48,
3,
24,
26
] | 10 | [
"48/24=2",
"26/2=13",
"13-3=10"
] | Current State: 10:[48, 3, 24, 26], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [3, 26, 2]
Generated Node #2: [3, 26, 2] from Operation: 48/24=2
Current State: 10:[3, 26, 2], Operations: ['48/24=2']
Exploring Operation: 26/2=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 26/2=13
Current State: 10:[3, 13], Operations: ['48/24=2', '26/2=13']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
56,
75,
1,
16
] | 35 | [
"75-56=19",
"1*16=16",
"19+16=35"
] | Current State: 35:[56, 75, 1, 16], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [1, 16, 19]
Generated Node #2: [1, 16, 19] from Operation: 75-56=19
Current State: 35:[1, 16, 19], Operations: ['75-56=19']
Exploring Operation: 1*16=16, Resulting Numbers: [19, 16]
Generated Node #3: [19, 16] from Operation: 1*16=16
Current State: 35:[19, 16], Operations: ['75-56=19', '1*16=16']
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
59,
52,
39,
44
] | 26 | [
"39*44=1716",
"1716/52=33",
"59-33=26"
] | Current State: 26:[59, 52, 39, 44], Operations: []
Exploring Operation: 39*44=1716, Resulting Numbers: [59, 52, 1716]
Generated Node #2: [59, 52, 1716] from Operation: 39*44=1716
Current State: 26:[59, 52, 1716], Operations: ['39*44=1716']
Exploring Operation: 1716/52=33, Resulting Numbers: [59, 33]
Generated Node #3: [59, 33] from Operation: 1716/52=33
Current State: 26:[59, 33], Operations: ['39*44=1716', '1716/52=33']
Exploring Operation: 59-33=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
22,
40,
3,
43
] | 97 | [
"40-22=18",
"3*18=54",
"43+54=97"
] | Current State: 97:[22, 40, 3, 43], Operations: []
Exploring Operation: 40-22=18, Resulting Numbers: [3, 43, 18]
Generated Node #2: [3, 43, 18] from Operation: 40-22=18
Current State: 97:[3, 43, 18], Operations: ['40-22=18']
Exploring Operation: 3*18=54, Resulting Numbers: [43, 54]
Generated Node #3: [43, 54] from Operation: 3*18=54
Current State: 97:[43, 54], Operations: ['40-22=18', '3*18=54']
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
53,
37,
67
] | 79 | [
"53-4=49",
"67-37=30",
"49+30=79"
] | Current State: 79:[4, 53, 37, 67], Operations: []
Exploring Operation: 53-4=49, Resulting Numbers: [37, 67, 49]
Generated Node #2: [37, 67, 49] from Operation: 53-4=49
Current State: 79:[37, 67, 49], Operations: ['53-4=49']
Exploring Operation: 67-37=30, Resulting Numbers: [49, 30]
Generated Node #3: [49, 30] from Operation: 67-37=30
Current State: 79:[49, 30], Operations: ['53-4=49', '67-37=30']
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
60,
1,
47,
3
] | 78 | [
"47-1=46",
"3*46=138",
"138-60=78"
] | Current State: 78:[60, 1, 47, 3], Operations: []
Exploring Operation: 47-1=46, Resulting Numbers: [60, 3, 46]
Generated Node #2: [60, 3, 46] from Operation: 47-1=46
Current State: 78:[60, 3, 46], Operations: ['47-1=46']
Exploring Operation: 3*46=138, Resulting Numbers: [60, 138]
Generated Node #3: [60, 138] from Operation: 3*46=138
Current State: 78:[60, 138], Operations: ['47-1=46', '3*46=138']
Exploring Operation: 138-60=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
31,
82,
6,
86
] | 29 | [
"82-31=51",
"86-6=80",
"80-51=29"
] | Current State: 29:[31, 82, 6, 86], Operations: []
Exploring Operation: 82-31=51, Resulting Numbers: [6, 86, 51]
Generated Node #2: [6, 86, 51] from Operation: 82-31=51
Current State: 29:[6, 86, 51], Operations: ['82-31=51']
Exploring Operation: 86-6=80, Resulting Numbers: [51, 80]
Generated Node #3: [51, 80] from Operation: 86-6=80
Current State: 29:[51, 80], Operations: ['82-31=51', '86-6=80']
Exploring Operation: 80-51=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
11,
1,
18,
72
] | 65 | [
"11*1=11",
"72-18=54",
"11+54=65"
] | Current State: 65:[11, 1, 18, 72], Operations: []
Exploring Operation: 11*1=11, Resulting Numbers: [18, 72, 11]
Generated Node #2: [18, 72, 11] from Operation: 11*1=11
Current State: 65:[18, 72, 11], Operations: ['11*1=11']
Exploring Operation: 72-18=54, Resulting Numbers: [11, 54]
Generated Node #3: [11, 54] from Operation: 72-18=54
Current State: 65:[11, 54], Operations: ['11*1=11', '72-18=54']
Exploring Operation: 11+54=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
16,
28,
33,
61
] | 72 | [
"16+28=44",
"61-33=28",
"44+28=72"
] | Current State: 72:[16, 28, 33, 61], Operations: []
Exploring Operation: 16+28=44, Resulting Numbers: [33, 61, 44]
Generated Node #2: [33, 61, 44] from Operation: 16+28=44
Current State: 72:[33, 61, 44], Operations: ['16+28=44']
Exploring Operation: 61-33=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 61-33=28
Current State: 72:[44, 28], Operations: ['16+28=44', '61-33=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
9,
19,
74,
22
] | 47 | [
"22-19=3",
"9*3=27",
"74-27=47"
] | Current State: 47:[9, 19, 74, 22], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [9, 74, 3]
Generated Node #2: [9, 74, 3] from Operation: 22-19=3
Current State: 47:[9, 74, 3], Operations: ['22-19=3']
Exploring Operation: 9*3=27, Resulting Numbers: [74, 27]
Generated Node #3: [74, 27] from Operation: 9*3=27
Current State: 47:[74, 27], Operations: ['22-19=3', '9*3=27']
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
54,
85,
90,
45
] | 96 | [
"54*85=4590",
"4590/90=51",
"45+51=96"
] | Current State: 96:[54, 85, 90, 45], Operations: []
Exploring Operation: 54*85=4590, Resulting Numbers: [90, 45, 4590]
Generated Node #2: [90, 45, 4590] from Operation: 54*85=4590
Current State: 96:[90, 45, 4590], Operations: ['54*85=4590']
Exploring Operation: 4590/90=51, Resulting Numbers: [45, 51]
Generated Node #3: [45, 51] from Operation: 4590/90=51
Current State: 96:[45, 51], Operations: ['54*85=4590', '4590/90=51']
Exploring Operation: 45+51=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
62,
42,
88,
3
] | 92 | [
"62+88=150",
"150/3=50",
"42+50=92"
] | Current State: 92:[62, 42, 88, 3], Operations: []
Exploring Operation: 62+88=150, Resulting Numbers: [42, 3, 150]
Generated Node #2: [42, 3, 150] from Operation: 62+88=150
Current State: 92:[42, 3, 150], Operations: ['62+88=150']
Exploring Operation: 150/3=50, Resulting Numbers: [42, 50]
Generated Node #3: [42, 50] from Operation: 150/3=50
Current State: 92:[42, 50], Operations: ['62+88=150', '150/3=50']
Exploring Operation: 42+50=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
58,
29,
44
] | 54 | [
"44-17=27",
"58/29=2",
"27*2=54"
] | Current State: 54:[17, 58, 29, 44], Operations: []
Exploring Operation: 44-17=27, Resulting Numbers: [58, 29, 27]
Generated Node #2: [58, 29, 27] from Operation: 44-17=27
Current State: 54:[58, 29, 27], Operations: ['44-17=27']
Exploring Operation: 58/29=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 58/29=2
Current State: 54:[27, 2], Operations: ['44-17=27', '58/29=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
6,
58,
81,
85
] | 60 | [
"6+58=64",
"85-81=4",
"64-4=60"
] | Current State: 60:[6, 58, 81, 85], Operations: []
Exploring Operation: 6+58=64, Resulting Numbers: [81, 85, 64]
Generated Node #2: [81, 85, 64] from Operation: 6+58=64
Current State: 60:[81, 85, 64], Operations: ['6+58=64']
Exploring Operation: 85-81=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 85-81=4
Current State: 60:[64, 4], Operations: ['6+58=64', '85-81=4']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
6,
80,
58,
1
] | 16 | [
"80-6=74",
"58*1=58",
"74-58=16"
] | Current State: 16:[6, 80, 58, 1], Operations: []
Exploring Operation: 80-6=74, Resulting Numbers: [58, 1, 74]
Generated Node #2: [58, 1, 74] from Operation: 80-6=74
Current State: 16:[58, 1, 74], Operations: ['80-6=74']
Exploring Operation: 58*1=58, Resulting Numbers: [74, 58]
Generated Node #3: [74, 58] from Operation: 58*1=58
Current State: 16:[74, 58], Operations: ['80-6=74', '58*1=58']
Exploring Operation: 74-58=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
34,
98,
9,
28
] | 44 | [
"34-28=6",
"9*6=54",
"98-54=44"
] | Current State: 44:[34, 98, 9, 28], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [98, 9, 6]
Generated Node #2: [98, 9, 6] from Operation: 34-28=6
Current State: 44:[98, 9, 6], Operations: ['34-28=6']
Exploring Operation: 9*6=54, Resulting Numbers: [98, 54]
Generated Node #3: [98, 54] from Operation: 9*6=54
Current State: 44:[98, 54], Operations: ['34-28=6', '9*6=54']
Exploring Operation: 98-54=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
9,
51,
6,
76
] | 86 | [
"9+51=60",
"60/6=10",
"76+10=86"
] | Current State: 86:[9, 51, 6, 76], Operations: []
Exploring Operation: 9+51=60, Resulting Numbers: [6, 76, 60]
Generated Node #2: [6, 76, 60] from Operation: 9+51=60
Current State: 86:[6, 76, 60], Operations: ['9+51=60']
Exploring Operation: 60/6=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 60/6=10
Current State: 86:[76, 10], Operations: ['9+51=60', '60/6=10']
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
76,
41,
48,
37
] | 31 | [
"76+48=124",
"41-37=4",
"124/4=31"
] | Current State: 31:[76, 41, 48, 37], Operations: []
Exploring Operation: 76+48=124, Resulting Numbers: [41, 37, 124]
Generated Node #2: [41, 37, 124] from Operation: 76+48=124
Current State: 31:[41, 37, 124], Operations: ['76+48=124']
Exploring Operation: 41-37=4, Resulting Numbers: [124, 4]
Generated Node #3: [124, 4] from Operation: 41-37=4
Current State: 31:[124, 4], Operations: ['76+48=124', '41-37=4']
Exploring Operation: 124/4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
32,
34,
24,
86
] | 15 | [
"32-24=8",
"34+86=120",
"120/8=15"
] | Current State: 15:[32, 34, 24, 86], Operations: []
Exploring Operation: 32-24=8, Resulting Numbers: [34, 86, 8]
Generated Node #2: [34, 86, 8] from Operation: 32-24=8
Current State: 15:[34, 86, 8], Operations: ['32-24=8']
Exploring Operation: 34+86=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 34+86=120
Current State: 15:[8, 120], Operations: ['32-24=8', '34+86=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
85,
14,
65,
85
] | 17 | [
"85*14=1190",
"1190-85=1105",
"1105/65=17"
] | Current State: 17:[85, 14, 65, 85], Operations: []
Exploring Operation: 85*14=1190, Resulting Numbers: [65, 1190]
Generated Node #2: [65, 1190] from Operation: 85*14=1190
Current State: 17:[65, 1190], Operations: ['85*14=1190']
Exploring Operation: 1190-85=1105, Resulting Numbers: [65, 1105]
Generated Node #3: [65, 1105] from Operation: 1190-85=1105
Current State: 17:[65, 1105], Operations: ['85*14=1190', '1190-85=1105']
Exploring Operation: 1105/65=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
88,
5,
44,
5
] | 23 | [
"88/44=2",
"5*5=25",
"25-2=23"
] | Current State: 23:[88, 5, 44, 5], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [5, 5, 2]
Generated Node #2: [5, 5, 2] from Operation: 88/44=2
Current State: 23:[5, 5, 2], Operations: ['88/44=2']
Exploring Operation: 5*5=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 5*5=25
Current State: 23:[2, 25], Operations: ['88/44=2', '5*5=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
55,
48,
59,
95
] | 40 | [
"55+59=114",
"48*95=4560",
"4560/114=40"
] | Current State: 40:[55, 48, 59, 95], Operations: []
Exploring Operation: 55+59=114, Resulting Numbers: [48, 95, 114]
Generated Node #2: [48, 95, 114] from Operation: 55+59=114
Current State: 40:[48, 95, 114], Operations: ['55+59=114']
Exploring Operation: 48*95=4560, Resulting Numbers: [114, 4560]
Generated Node #3: [114, 4560] from Operation: 48*95=4560
Current State: 40:[114, 4560], Operations: ['55+59=114', '48*95=4560']
Exploring Operation: 4560/114=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
24,
10,
72
] | 53 | [
"21*72=1512",
"1512/24=63",
"63-10=53"
] | Current State: 53:[21, 24, 10, 72], Operations: []
Exploring Operation: 21*72=1512, Resulting Numbers: [24, 10, 1512]
Generated Node #2: [24, 10, 1512] from Operation: 21*72=1512
Current State: 53:[24, 10, 1512], Operations: ['21*72=1512']
Exploring Operation: 1512/24=63, Resulting Numbers: [10, 63]
Generated Node #3: [10, 63] from Operation: 1512/24=63
Current State: 53:[10, 63], Operations: ['21*72=1512', '1512/24=63']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
82,
20,
26
] | 41 | [
"72-20=52",
"82*26=2132",
"2132/52=41"
] | Current State: 41:[72, 82, 20, 26], Operations: []
Exploring Operation: 72-20=52, Resulting Numbers: [82, 26, 52]
Generated Node #2: [82, 26, 52] from Operation: 72-20=52
Current State: 41:[82, 26, 52], Operations: ['72-20=52']
Exploring Operation: 82*26=2132, Resulting Numbers: [52, 2132]
Generated Node #3: [52, 2132] from Operation: 82*26=2132
Current State: 41:[52, 2132], Operations: ['72-20=52', '82*26=2132']
Exploring Operation: 2132/52=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
3,
29,
8,
93
] | 30 | [
"29-8=21",
"3*21=63",
"93-63=30"
] | Current State: 30:[3, 29, 8, 93], Operations: []
Exploring Operation: 29-8=21, Resulting Numbers: [3, 93, 21]
Generated Node #2: [3, 93, 21] from Operation: 29-8=21
Current State: 30:[3, 93, 21], Operations: ['29-8=21']
Exploring Operation: 3*21=63, Resulting Numbers: [93, 63]
Generated Node #3: [93, 63] from Operation: 3*21=63
Current State: 30:[93, 63], Operations: ['29-8=21', '3*21=63']
Exploring Operation: 93-63=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
67,
13,
39,
34
] | 98 | [
"67+34=101",
"39/13=3",
"101-3=98"
] | Current State: 98:[67, 13, 39, 34], Operations: []
Exploring Operation: 67+34=101, Resulting Numbers: [13, 39, 101]
Generated Node #2: [13, 39, 101] from Operation: 67+34=101
Current State: 98:[13, 39, 101], Operations: ['67+34=101']
Exploring Operation: 39/13=3, Resulting Numbers: [101, 3]
Generated Node #3: [101, 3] from Operation: 39/13=3
Current State: 98:[101, 3], Operations: ['67+34=101', '39/13=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
29,
58,
80,
3
] | 21 | [
"29+58=87",
"87-80=7",
"3*7=21"
] | Current State: 21:[29, 58, 80, 3], Operations: []
Exploring Operation: 29+58=87, Resulting Numbers: [80, 3, 87]
Generated Node #2: [80, 3, 87] from Operation: 29+58=87
Current State: 21:[80, 3, 87], Operations: ['29+58=87']
Exploring Operation: 87-80=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 87-80=7
Current State: 21:[3, 7], Operations: ['29+58=87', '87-80=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
43,
46,
78,
1
] | 80 | [
"46-43=3",
"78-1=77",
"3+77=80"
] | Current State: 80:[43, 46, 78, 1], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [78, 1, 3]
Generated Node #2: [78, 1, 3] from Operation: 46-43=3
Current State: 80:[78, 1, 3], Operations: ['46-43=3']
Exploring Operation: 78-1=77, Resulting Numbers: [3, 77]
Generated Node #3: [3, 77] from Operation: 78-1=77
Current State: 80:[3, 77], Operations: ['46-43=3', '78-1=77']
Exploring Operation: 3+77=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
1,
5,
7,
17
] | 96 | [
"5-1=4",
"7+17=24",
"4*24=96"
] | Current State: 96:[1, 5, 7, 17], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [7, 17, 4]
Generated Node #2: [7, 17, 4] from Operation: 5-1=4
Current State: 96:[7, 17, 4], Operations: ['5-1=4']
Exploring Operation: 7+17=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 7+17=24
Current State: 96:[4, 24], Operations: ['5-1=4', '7+17=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
80,
49,
6,
54
] | 96 | [
"80*6=480",
"54-49=5",
"480/5=96"
] | Current State: 96:[80, 49, 6, 54], Operations: []
Exploring Operation: 80*6=480, Resulting Numbers: [49, 54, 480]
Generated Node #2: [49, 54, 480] from Operation: 80*6=480
Current State: 96:[49, 54, 480], Operations: ['80*6=480']
Exploring Operation: 54-49=5, Resulting Numbers: [480, 5]
Generated Node #3: [480, 5] from Operation: 54-49=5
Current State: 96:[480, 5], Operations: ['80*6=480', '54-49=5']
Exploring Operation: 480/5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
64,
69,
26,
46
] | 60 | [
"64+26=90",
"46*90=4140",
"4140/69=60"
] | Current State: 60:[64, 69, 26, 46], Operations: []
Exploring Operation: 64+26=90, Resulting Numbers: [69, 46, 90]
Generated Node #2: [69, 46, 90] from Operation: 64+26=90
Current State: 60:[69, 46, 90], Operations: ['64+26=90']
Exploring Operation: 46*90=4140, Resulting Numbers: [69, 4140]
Generated Node #3: [69, 4140] from Operation: 46*90=4140
Current State: 60:[69, 4140], Operations: ['64+26=90', '46*90=4140']
Exploring Operation: 4140/69=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
97,
31,
38,
42
] | 32 | [
"97+31=128",
"42-38=4",
"128/4=32"
] | Current State: 32:[97, 31, 38, 42], Operations: []
Exploring Operation: 97+31=128, Resulting Numbers: [38, 42, 128]
Generated Node #2: [38, 42, 128] from Operation: 97+31=128
Current State: 32:[38, 42, 128], Operations: ['97+31=128']
Exploring Operation: 42-38=4, Resulting Numbers: [128, 4]
Generated Node #3: [128, 4] from Operation: 42-38=4
Current State: 32:[128, 4], Operations: ['97+31=128', '42-38=4']
Exploring Operation: 128/4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
69,
18,
78,
50
] | 59 | [
"69+18=87",
"78-50=28",
"87-28=59"
] | Current State: 59:[69, 18, 78, 50], Operations: []
Exploring Operation: 69+18=87, Resulting Numbers: [78, 50, 87]
Generated Node #2: [78, 50, 87] from Operation: 69+18=87
Current State: 59:[78, 50, 87], Operations: ['69+18=87']
Exploring Operation: 78-50=28, Resulting Numbers: [87, 28]
Generated Node #3: [87, 28] from Operation: 78-50=28
Current State: 59:[87, 28], Operations: ['69+18=87', '78-50=28']
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
12,
9,
37,
72
] | 40 | [
"72/12=6",
"9+37=46",
"46-6=40"
] | Current State: 40:[12, 9, 37, 72], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [9, 37, 6]
Generated Node #2: [9, 37, 6] from Operation: 72/12=6
Current State: 40:[9, 37, 6], Operations: ['72/12=6']
Exploring Operation: 9+37=46, Resulting Numbers: [6, 46]
Generated Node #3: [6, 46] from Operation: 9+37=46
Current State: 40:[6, 46], Operations: ['72/12=6', '9+37=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
2,
46,
24,
46
] | 58 | [
"46+24=70",
"46+70=116",
"116/2=58"
] | Current State: 58:[2, 46, 24, 46], Operations: []
Exploring Operation: 46+24=70, Resulting Numbers: [2, 70]
Generated Node #2: [2, 70] from Operation: 46+24=70
Current State: 58:[2, 70], Operations: ['46+24=70']
Exploring Operation: 46+70=116, Resulting Numbers: [2, 116]
Generated Node #3: [2, 116] from Operation: 46+70=116
Current State: 58:[2, 116], Operations: ['46+24=70', '46+70=116']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
78,
5,
95,
85
] | 76 | [
"95-85=10",
"10/5=2",
"78-2=76"
] | Current State: 76:[78, 5, 95, 85], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [78, 5, 10]
Generated Node #2: [78, 5, 10] from Operation: 95-85=10
Current State: 76:[78, 5, 10], Operations: ['95-85=10']
Exploring Operation: 10/5=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 10/5=2
Current State: 76:[78, 2], Operations: ['95-85=10', '10/5=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
82,
54,
11
] | 21 | [
"82-60=22",
"54-11=43",
"43-22=21"
] | Current State: 21:[60, 82, 54, 11], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [54, 11, 22]
Generated Node #2: [54, 11, 22] from Operation: 82-60=22
Current State: 21:[54, 11, 22], Operations: ['82-60=22']
Exploring Operation: 54-11=43, Resulting Numbers: [22, 43]
Generated Node #3: [22, 43] from Operation: 54-11=43
Current State: 21:[22, 43], Operations: ['82-60=22', '54-11=43']
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
69,
99,
39,
20
] | 66 | [
"69-39=30",
"99*20=1980",
"1980/30=66"
] | Current State: 66:[69, 99, 39, 20], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [99, 20, 30]
Generated Node #2: [99, 20, 30] from Operation: 69-39=30
Current State: 66:[99, 20, 30], Operations: ['69-39=30']
Exploring Operation: 99*20=1980, Resulting Numbers: [30, 1980]
Generated Node #3: [30, 1980] from Operation: 99*20=1980
Current State: 66:[30, 1980], Operations: ['69-39=30', '99*20=1980']
Exploring Operation: 1980/30=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
68,
94,
22,
17
] | 18 | [
"68/17=4",
"94-22=72",
"72/4=18"
] | Current State: 18:[68, 94, 22, 17], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [94, 22, 4]
Generated Node #2: [94, 22, 4] from Operation: 68/17=4
Current State: 18:[94, 22, 4], Operations: ['68/17=4']
Exploring Operation: 94-22=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 94-22=72
Current State: 18:[4, 72], Operations: ['68/17=4', '94-22=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
52,
1,
19,
84
] | 52 | [
"52-1=51",
"19+84=103",
"103-51=52"
] | Current State: 52:[52, 1, 19, 84], Operations: []
Exploring Operation: 52-1=51, Resulting Numbers: [19, 84, 51]
Generated Node #2: [19, 84, 51] from Operation: 52-1=51
Current State: 52:[19, 84, 51], Operations: ['52-1=51']
Exploring Operation: 19+84=103, Resulting Numbers: [51, 103]
Generated Node #3: [51, 103] from Operation: 19+84=103
Current State: 52:[51, 103], Operations: ['52-1=51', '19+84=103']
Exploring Operation: 103-51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
2,
51,
12,
19
] | 71 | [
"2*51=102",
"12+19=31",
"102-31=71"
] | Current State: 71:[2, 51, 12, 19], Operations: []
Exploring Operation: 2*51=102, Resulting Numbers: [12, 19, 102]
Generated Node #2: [12, 19, 102] from Operation: 2*51=102
Current State: 71:[12, 19, 102], Operations: ['2*51=102']
Exploring Operation: 12+19=31, Resulting Numbers: [102, 31]
Generated Node #3: [102, 31] from Operation: 12+19=31
Current State: 71:[102, 31], Operations: ['2*51=102', '12+19=31']
Exploring Operation: 102-31=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
47,
60,
42,
9
] | 80 | [
"47+9=56",
"60*56=3360",
"3360/42=80"
] | Current State: 80:[47, 60, 42, 9], Operations: []
Exploring Operation: 47+9=56, Resulting Numbers: [60, 42, 56]
Generated Node #2: [60, 42, 56] from Operation: 47+9=56
Current State: 80:[60, 42, 56], Operations: ['47+9=56']
Exploring Operation: 60*56=3360, Resulting Numbers: [42, 3360]
Generated Node #3: [42, 3360] from Operation: 60*56=3360
Current State: 80:[42, 3360], Operations: ['47+9=56', '60*56=3360']
Exploring Operation: 3360/42=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
15,
6,
96,
46
] | 71 | [
"15+6=21",
"96-46=50",
"21+50=71"
] | Current State: 71:[15, 6, 96, 46], Operations: []
Exploring Operation: 15+6=21, Resulting Numbers: [96, 46, 21]
Generated Node #2: [96, 46, 21] from Operation: 15+6=21
Current State: 71:[96, 46, 21], Operations: ['15+6=21']
Exploring Operation: 96-46=50, Resulting Numbers: [21, 50]
Generated Node #3: [21, 50] from Operation: 96-46=50
Current State: 71:[21, 50], Operations: ['15+6=21', '96-46=50']
Exploring Operation: 21+50=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
45,
15,
9,
43
] | 31 | [
"45/15=3",
"43-9=34",
"34-3=31"
] | Current State: 31:[45, 15, 9, 43], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [9, 43, 3]
Generated Node #2: [9, 43, 3] from Operation: 45/15=3
Current State: 31:[9, 43, 3], Operations: ['45/15=3']
Exploring Operation: 43-9=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 43-9=34
Current State: 31:[3, 34], Operations: ['45/15=3', '43-9=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
21,
34,
49,
7
] | 62 | [
"21+34=55",
"49/7=7",
"55+7=62"
] | Current State: 62:[21, 34, 49, 7], Operations: []
Exploring Operation: 21+34=55, Resulting Numbers: [49, 7, 55]
Generated Node #2: [49, 7, 55] from Operation: 21+34=55
Current State: 62:[49, 7, 55], Operations: ['21+34=55']
Exploring Operation: 49/7=7, Resulting Numbers: [55, 7]
Generated Node #3: [55, 7] from Operation: 49/7=7
Current State: 62:[55, 7], Operations: ['21+34=55', '49/7=7']
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
43,
43,
14,
75
] | 62 | [
"43/43=1",
"75-14=61",
"1+61=62"
] | Current State: 62:[43, 43, 14, 75], Operations: []
Exploring Operation: 43/43=1, Resulting Numbers: [14, 75, 1]
Generated Node #2: [14, 75, 1] from Operation: 43/43=1
Current State: 62:[14, 75, 1], Operations: ['43/43=1']
Exploring Operation: 75-14=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 75-14=61
Current State: 62:[1, 61], Operations: ['43/43=1', '75-14=61']
Exploring Operation: 1+61=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
34,
63,
42,
55
] | 68 | [
"63-34=29",
"42+55=97",
"97-29=68"
] | Current State: 68:[34, 63, 42, 55], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [42, 55, 29]
Generated Node #2: [42, 55, 29] from Operation: 63-34=29
Current State: 68:[42, 55, 29], Operations: ['63-34=29']
Exploring Operation: 42+55=97, Resulting Numbers: [29, 97]
Generated Node #3: [29, 97] from Operation: 42+55=97
Current State: 68:[29, 97], Operations: ['63-34=29', '42+55=97']
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
58,
58,
24,
97
] | 73 | [
"58-58=0",
"97-24=73",
"0+73=73"
] | Current State: 73:[58, 58, 24, 97], Operations: []
Exploring Operation: 58-58=0, Resulting Numbers: [24, 97, 0]
Generated Node #2: [24, 97, 0] from Operation: 58-58=0
Current State: 73:[24, 97, 0], Operations: ['58-58=0']
Exploring Operation: 97-24=73, Resulting Numbers: [0, 73]
Generated Node #3: [0, 73] from Operation: 97-24=73
Current State: 73:[0, 73], Operations: ['58-58=0', '97-24=73']
Exploring Operation: 0+73=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
14,
90,
52,
18
] | 95 | [
"52+18=70",
"70/14=5",
"90+5=95"
] | Current State: 95:[14, 90, 52, 18], Operations: []
Exploring Operation: 52+18=70, Resulting Numbers: [14, 90, 70]
Generated Node #2: [14, 90, 70] from Operation: 52+18=70
Current State: 95:[14, 90, 70], Operations: ['52+18=70']
Exploring Operation: 70/14=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 70/14=5
Current State: 95:[90, 5], Operations: ['52+18=70', '70/14=5']
Exploring Operation: 90+5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
72,
62,
27,
40
] | 31 | [
"72-62=10",
"40/10=4",
"27+4=31"
] | Current State: 31:[72, 62, 27, 40], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [27, 40, 10]
Generated Node #2: [27, 40, 10] from Operation: 72-62=10
Current State: 31:[27, 40, 10], Operations: ['72-62=10']
Exploring Operation: 40/10=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 40/10=4
Current State: 31:[27, 4], Operations: ['72-62=10', '40/10=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
57,
86,
1,
76
] | 68 | [
"57+86=143",
"76-1=75",
"143-75=68"
] | Current State: 68:[57, 86, 1, 76], Operations: []
Exploring Operation: 57+86=143, Resulting Numbers: [1, 76, 143]
Generated Node #2: [1, 76, 143] from Operation: 57+86=143
Current State: 68:[1, 76, 143], Operations: ['57+86=143']
Exploring Operation: 76-1=75, Resulting Numbers: [143, 75]
Generated Node #3: [143, 75] from Operation: 76-1=75
Current State: 68:[143, 75], Operations: ['57+86=143', '76-1=75']
Exploring Operation: 143-75=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
19,
16,
70
] | 96 | [
"19-9=10",
"16+70=86",
"10+86=96"
] | Current State: 96:[9, 19, 16, 70], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [16, 70, 10]
Generated Node #2: [16, 70, 10] from Operation: 19-9=10
Current State: 96:[16, 70, 10], Operations: ['19-9=10']
Exploring Operation: 16+70=86, Resulting Numbers: [10, 86]
Generated Node #3: [10, 86] from Operation: 16+70=86
Current State: 96:[10, 86], Operations: ['19-9=10', '16+70=86']
Exploring Operation: 10+86=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
82,
48,
74,
70
] | 78 | [
"82-70=12",
"48/12=4",
"74+4=78"
] | Current State: 78:[82, 48, 74, 70], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [48, 74, 12]
Generated Node #2: [48, 74, 12] from Operation: 82-70=12
Current State: 78:[48, 74, 12], Operations: ['82-70=12']
Exploring Operation: 48/12=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 48/12=4
Current State: 78:[74, 4], Operations: ['82-70=12', '48/12=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
35,
75,
7,
42
] | 28 | [
"35/7=5",
"75-42=33",
"33-5=28"
] | Current State: 28:[35, 75, 7, 42], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [75, 42, 5]
Generated Node #2: [75, 42, 5] from Operation: 35/7=5
Current State: 28:[75, 42, 5], Operations: ['35/7=5']
Exploring Operation: 75-42=33, Resulting Numbers: [5, 33]
Generated Node #3: [5, 33] from Operation: 75-42=33
Current State: 28:[5, 33], Operations: ['35/7=5', '75-42=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
86,
40,
33,
98
] | 84 | [
"98-86=12",
"40-33=7",
"12*7=84"
] | Current State: 84:[86, 40, 33, 98], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [40, 33, 12]
Generated Node #2: [40, 33, 12] from Operation: 98-86=12
Current State: 84:[40, 33, 12], Operations: ['98-86=12']
Exploring Operation: 40-33=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 40-33=7
Current State: 84:[12, 7], Operations: ['98-86=12', '40-33=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
48,
8,
71,
86
] | 41 | [
"48+8=56",
"86-71=15",
"56-15=41"
] | Current State: 41:[48, 8, 71, 86], Operations: []
Exploring Operation: 48+8=56, Resulting Numbers: [71, 86, 56]
Generated Node #2: [71, 86, 56] from Operation: 48+8=56
Current State: 41:[71, 86, 56], Operations: ['48+8=56']
Exploring Operation: 86-71=15, Resulting Numbers: [56, 15]
Generated Node #3: [56, 15] from Operation: 86-71=15
Current State: 41:[56, 15], Operations: ['48+8=56', '86-71=15']
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
42,
12,
9,
86
] | 40 | [
"12-9=3",
"42*3=126",
"126-86=40"
] | Current State: 40:[42, 12, 9, 86], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [42, 86, 3]
Generated Node #2: [42, 86, 3] from Operation: 12-9=3
Current State: 40:[42, 86, 3], Operations: ['12-9=3']
Exploring Operation: 42*3=126, Resulting Numbers: [86, 126]
Generated Node #3: [86, 126] from Operation: 42*3=126
Current State: 40:[86, 126], Operations: ['12-9=3', '42*3=126']
Exploring Operation: 126-86=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
81,
70,
36,
94
] | 90 | [
"81+94=175",
"36*175=6300",
"6300/70=90"
] | Current State: 90:[81, 70, 36, 94], Operations: []
Exploring Operation: 81+94=175, Resulting Numbers: [70, 36, 175]
Generated Node #2: [70, 36, 175] from Operation: 81+94=175
Current State: 90:[70, 36, 175], Operations: ['81+94=175']
Exploring Operation: 36*175=6300, Resulting Numbers: [70, 6300]
Generated Node #3: [70, 6300] from Operation: 36*175=6300
Current State: 90:[70, 6300], Operations: ['81+94=175', '36*175=6300']
Exploring Operation: 6300/70=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
24,
99,
60,
30
] | 24 | [
"99-24=75",
"60*30=1800",
"1800/75=24"
] | Current State: 24:[24, 99, 60, 30], Operations: []
Exploring Operation: 99-24=75, Resulting Numbers: [60, 30, 75]
Generated Node #2: [60, 30, 75] from Operation: 99-24=75
Current State: 24:[60, 30, 75], Operations: ['99-24=75']
Exploring Operation: 60*30=1800, Resulting Numbers: [75, 1800]
Generated Node #3: [75, 1800] from Operation: 60*30=1800
Current State: 24:[75, 1800], Operations: ['99-24=75', '60*30=1800']
Exploring Operation: 1800/75=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
66,
90,
11,
3
] | 12 | [
"66/11=6",
"90/6=15",
"15-3=12"
] | Current State: 12:[66, 90, 11, 3], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [90, 3, 6]
Generated Node #2: [90, 3, 6] from Operation: 66/11=6
Current State: 12:[90, 3, 6], Operations: ['66/11=6']
Exploring Operation: 90/6=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 90/6=15
Current State: 12:[3, 15], Operations: ['66/11=6', '90/6=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
35,
36,
80,
67
] | 84 | [
"35+36=71",
"80-67=13",
"71+13=84"
] | Current State: 84:[35, 36, 80, 67], Operations: []
Exploring Operation: 35+36=71, Resulting Numbers: [80, 67, 71]
Generated Node #2: [80, 67, 71] from Operation: 35+36=71
Current State: 84:[80, 67, 71], Operations: ['35+36=71']
Exploring Operation: 80-67=13, Resulting Numbers: [71, 13]
Generated Node #3: [71, 13] from Operation: 80-67=13
Current State: 84:[71, 13], Operations: ['35+36=71', '80-67=13']
Exploring Operation: 71+13=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
2,
5,
17,
89
] | 64 | [
"5+89=94",
"94/2=47",
"17+47=64"
] | Current State: 64:[2, 5, 17, 89], Operations: []
Exploring Operation: 5+89=94, Resulting Numbers: [2, 17, 94]
Generated Node #2: [2, 17, 94] from Operation: 5+89=94
Current State: 64:[2, 17, 94], Operations: ['5+89=94']
Exploring Operation: 94/2=47, Resulting Numbers: [17, 47]
Generated Node #3: [17, 47] from Operation: 94/2=47
Current State: 64:[17, 47], Operations: ['5+89=94', '94/2=47']
Exploring Operation: 17+47=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
82,
44,
96,
74
] | 60 | [
"82-44=38",
"96-74=22",
"38+22=60"
] | Current State: 60:[82, 44, 96, 74], Operations: []
Exploring Operation: 82-44=38, Resulting Numbers: [96, 74, 38]
Generated Node #2: [96, 74, 38] from Operation: 82-44=38
Current State: 60:[96, 74, 38], Operations: ['82-44=38']
Exploring Operation: 96-74=22, Resulting Numbers: [38, 22]
Generated Node #3: [38, 22] from Operation: 96-74=22
Current State: 60:[38, 22], Operations: ['82-44=38', '96-74=22']
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
87,
8,
28,
24
] | 58 | [
"87*24=2088",
"8+28=36",
"2088/36=58"
] | Current State: 58:[87, 8, 28, 24], Operations: []
Exploring Operation: 87*24=2088, Resulting Numbers: [8, 28, 2088]
Generated Node #2: [8, 28, 2088] from Operation: 87*24=2088
Current State: 58:[8, 28, 2088], Operations: ['87*24=2088']
Exploring Operation: 8+28=36, Resulting Numbers: [2088, 36]
Generated Node #3: [2088, 36] from Operation: 8+28=36
Current State: 58:[2088, 36], Operations: ['87*24=2088', '8+28=36']
Exploring Operation: 2088/36=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
22,
3,
69,
81
] | 72 | [
"69+81=150",
"150/3=50",
"22+50=72"
] | Current State: 72:[22, 3, 69, 81], Operations: []
Exploring Operation: 69+81=150, Resulting Numbers: [22, 3, 150]
Generated Node #2: [22, 3, 150] from Operation: 69+81=150
Current State: 72:[22, 3, 150], Operations: ['69+81=150']
Exploring Operation: 150/3=50, Resulting Numbers: [22, 50]
Generated Node #3: [22, 50] from Operation: 150/3=50
Current State: 72:[22, 50], Operations: ['69+81=150', '150/3=50']
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
90,
40,
55,
15
] | 10 | [
"90-40=50",
"55-15=40",
"50-40=10"
] | Current State: 10:[90, 40, 55, 15], Operations: []
Exploring Operation: 90-40=50, Resulting Numbers: [55, 15, 50]
Generated Node #2: [55, 15, 50] from Operation: 90-40=50
Current State: 10:[55, 15, 50], Operations: ['90-40=50']
Exploring Operation: 55-15=40, Resulting Numbers: [50, 40]
Generated Node #3: [50, 40] from Operation: 55-15=40
Current State: 10:[50, 40], Operations: ['90-40=50', '55-15=40']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
97,
53,
45,
13
] | 49 | [
"97-45=52",
"52/13=4",
"53-4=49"
] | Current State: 49:[97, 53, 45, 13], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [53, 13, 52]
Generated Node #2: [53, 13, 52] from Operation: 97-45=52
Current State: 49:[53, 13, 52], Operations: ['97-45=52']
Exploring Operation: 52/13=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 52/13=4
Current State: 49:[53, 4], Operations: ['97-45=52', '52/13=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
88,
94,
32,
68
] | 64 | [
"88*68=5984",
"32+5984=6016",
"6016/94=64"
] | Current State: 64:[88, 94, 32, 68], Operations: []
Exploring Operation: 88*68=5984, Resulting Numbers: [94, 32, 5984]
Generated Node #2: [94, 32, 5984] from Operation: 88*68=5984
Current State: 64:[94, 32, 5984], Operations: ['88*68=5984']
Exploring Operation: 32+5984=6016, Resulting Numbers: [94, 6016]
Generated Node #3: [94, 6016] from Operation: 32+5984=6016
Current State: 64:[94, 6016], Operations: ['88*68=5984', '32+5984=6016']
Exploring Operation: 6016/94=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
7,
23,
62,
23
] | 26 | [
"7+62=69",
"69/23=3",
"23+3=26"
] | Current State: 26:[7, 23, 62, 23], Operations: []
Exploring Operation: 7+62=69, Resulting Numbers: [23, 23, 69]
Generated Node #2: [23, 23, 69] from Operation: 7+62=69
Current State: 26:[23, 23, 69], Operations: ['7+62=69']
Exploring Operation: 69/23=3, Resulting Numbers: [3]
3,26 equal: Goal Reached
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
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