nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
17,
71,
24,
14
] | 27 | [
"24-17=7",
"14*7=98",
"98-71=27"
] | Current State: 27:[17, 71, 24, 14], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [71, 14, 7]
Generated Node #2: [71, 14, 7] from Operation: 24-17=7
Current State: 27:[71, 14, 7], Operations: ['24-17=7']
Exploring Operation: 14*7=98, Resulting Numbers: [71, 98]
Generated Node #3: [71, 98] from Operation: 14*7=98
Current State: 27:[71, 98], Operations: ['24-17=7', '14*7=98']
Exploring Operation: 98-71=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
49,
42,
95,
31
] | 46 | [
"95+31=126",
"126/42=3",
"49-3=46"
] | Current State: 46:[49, 42, 95, 31], Operations: []
Exploring Operation: 95+31=126, Resulting Numbers: [49, 42, 126]
Generated Node #2: [49, 42, 126] from Operation: 95+31=126
Current State: 46:[49, 42, 126], Operations: ['95+31=126']
Exploring Operation: 126/42=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 126/42=3
Current State: 46:[49, 3], Operations: ['95+31=126', '126/42=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
93,
35,
60,
35
] | 83 | [
"93-35=58",
"60-35=25",
"58+25=83"
] | Current State: 83:[93, 35, 60, 35], Operations: []
Exploring Operation: 93-35=58, Resulting Numbers: [60, 58]
Generated Node #2: [60, 58] from Operation: 93-35=58
Current State: 83:[60, 58], Operations: ['93-35=58']
Exploring Operation: 60-35=25, Resulting Numbers: [58, 25]
Generated Node #3: [58, 25] from Operation: 60-35=25
Current State: 83:[58, 25], Operations: ['93-35=58', '60-35=25']
Exploring Operation: 58+25=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
26,
86,
97,
95
] | 17 | [
"97-95=2",
"86/2=43",
"43-26=17"
] | Current State: 17:[26, 86, 97, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [26, 86, 2]
Generated Node #2: [26, 86, 2] from Operation: 97-95=2
Current State: 17:[26, 86, 2], Operations: ['97-95=2']
Exploring Operation: 86/2=43, Resulting Numbers: [26, 43]
Generated Node #3: [26, 43] from Operation: 86/2=43
Current State: 17:[26, 43], Operations: ['97-95=2', '86/2=43']
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
61,
18,
92,
49
] | 62 | [
"61+18=79",
"92+49=141",
"141-79=62"
] | Current State: 62:[61, 18, 92, 49], Operations: []
Exploring Operation: 61+18=79, Resulting Numbers: [92, 49, 79]
Generated Node #2: [92, 49, 79] from Operation: 61+18=79
Current State: 62:[92, 49, 79], Operations: ['61+18=79']
Exploring Operation: 92+49=141, Resulting Numbers: [79, 141]
Generated Node #3: [79, 141] from Operation: 92+49=141
Current State: 62:[79, 141], Operations: ['61+18=79', '92+49=141']
Exploring Operation: 141-79=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
79,
75,
4,
61
] | 77 | [
"79-75=4",
"4*4=16",
"61+16=77"
] | Current State: 77:[79, 75, 4, 61], Operations: []
Exploring Operation: 79-75=4, Resulting Numbers: [4, 61, 4]
Generated Node #2: [4, 61, 4] from Operation: 79-75=4
Current State: 77:[4, 61, 4], Operations: ['79-75=4']
Exploring Operation: 4*4=16, Resulting Numbers: [61, 16]
Generated Node #3: [61, 16] from Operation: 4*4=16
Current State: 77:[61, 16], Operations: ['79-75=4', '4*4=16']
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
16,
13,
11,
3
] | 56 | [
"13+11=24",
"3*24=72",
"72-16=56"
] | Current State: 56:[16, 13, 11, 3], Operations: []
Exploring Operation: 13+11=24, Resulting Numbers: [16, 3, 24]
Generated Node #2: [16, 3, 24] from Operation: 13+11=24
Current State: 56:[16, 3, 24], Operations: ['13+11=24']
Exploring Operation: 3*24=72, Resulting Numbers: [16, 72]
Generated Node #3: [16, 72] from Operation: 3*24=72
Current State: 56:[16, 72], Operations: ['13+11=24', '3*24=72']
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
8,
41,
64,
20
] | 53 | [
"64/8=8",
"41+20=61",
"61-8=53"
] | Current State: 53:[8, 41, 64, 20], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [41, 20, 8]
Generated Node #2: [41, 20, 8] from Operation: 64/8=8
Current State: 53:[41, 20, 8], Operations: ['64/8=8']
Exploring Operation: 41+20=61, Resulting Numbers: [8, 61]
Generated Node #3: [8, 61] from Operation: 41+20=61
Current State: 53:[8, 61], Operations: ['64/8=8', '41+20=61']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
1,
61,
85,
50
] | 74 | [
"1*61=61",
"85+50=135",
"135-61=74"
] | Current State: 74:[1, 61, 85, 50], Operations: []
Exploring Operation: 1*61=61, Resulting Numbers: [85, 50, 61]
Generated Node #2: [85, 50, 61] from Operation: 1*61=61
Current State: 74:[85, 50, 61], Operations: ['1*61=61']
Exploring Operation: 85+50=135, Resulting Numbers: [61, 135]
Generated Node #3: [61, 135] from Operation: 85+50=135
Current State: 74:[61, 135], Operations: ['1*61=61', '85+50=135']
Exploring Operation: 135-61=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
3,
5,
71,
23
] | 41 | [
"3+71=74",
"5*23=115",
"115-74=41"
] | Current State: 41:[3, 5, 71, 23], Operations: []
Exploring Operation: 3+71=74, Resulting Numbers: [5, 23, 74]
Generated Node #2: [5, 23, 74] from Operation: 3+71=74
Current State: 41:[5, 23, 74], Operations: ['3+71=74']
Exploring Operation: 5*23=115, Resulting Numbers: [74, 115]
Generated Node #3: [74, 115] from Operation: 5*23=115
Current State: 41:[74, 115], Operations: ['3+71=74', '5*23=115']
Exploring Operation: 115-74=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
67,
23,
2,
87
] | 84 | [
"67+23=90",
"2*87=174",
"174-90=84"
] | Current State: 84:[67, 23, 2, 87], Operations: []
Exploring Operation: 67+23=90, Resulting Numbers: [2, 87, 90]
Generated Node #2: [2, 87, 90] from Operation: 67+23=90
Current State: 84:[2, 87, 90], Operations: ['67+23=90']
Exploring Operation: 2*87=174, Resulting Numbers: [90, 174]
Generated Node #3: [90, 174] from Operation: 2*87=174
Current State: 84:[90, 174], Operations: ['67+23=90', '2*87=174']
Exploring Operation: 174-90=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
4,
6,
44,
68
] | 91 | [
"6*68=408",
"408-44=364",
"364/4=91"
] | Current State: 91:[4, 6, 44, 68], Operations: []
Exploring Operation: 6*68=408, Resulting Numbers: [4, 44, 408]
Generated Node #2: [4, 44, 408] from Operation: 6*68=408
Current State: 91:[4, 44, 408], Operations: ['6*68=408']
Exploring Operation: 408-44=364, Resulting Numbers: [4, 364]
Generated Node #3: [4, 364] from Operation: 408-44=364
Current State: 91:[4, 364], Operations: ['6*68=408', '408-44=364']
Exploring Operation: 364/4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
48,
47,
74,
44
] | 29 | [
"48-47=1",
"74-44=30",
"30-1=29"
] | Current State: 29:[48, 47, 74, 44], Operations: []
Exploring Operation: 48-47=1, Resulting Numbers: [74, 44, 1]
Generated Node #2: [74, 44, 1] from Operation: 48-47=1
Current State: 29:[74, 44, 1], Operations: ['48-47=1']
Exploring Operation: 74-44=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 74-44=30
Current State: 29:[1, 30], Operations: ['48-47=1', '74-44=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
53,
60,
7,
15
] | 42 | [
"53-7=46",
"60/15=4",
"46-4=42"
] | Current State: 42:[53, 60, 7, 15], Operations: []
Exploring Operation: 53-7=46, Resulting Numbers: [60, 15, 46]
Generated Node #2: [60, 15, 46] from Operation: 53-7=46
Current State: 42:[60, 15, 46], Operations: ['53-7=46']
Exploring Operation: 60/15=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 60/15=4
Current State: 42:[46, 4], Operations: ['53-7=46', '60/15=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
30,
10,
73,
10
] | 83 | [
"30-10=20",
"73-10=63",
"20+63=83"
] | Current State: 83:[30, 10, 73, 10], Operations: []
Exploring Operation: 30-10=20, Resulting Numbers: [73, 20]
Generated Node #2: [73, 20] from Operation: 30-10=20
Current State: 83:[73, 20], Operations: ['30-10=20']
Exploring Operation: 73-10=63, Resulting Numbers: [20, 63]
Generated Node #3: [20, 63] from Operation: 73-10=63
Current State: 83:[20, 63], Operations: ['30-10=20', '73-10=63']
Exploring Operation: 20+63=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
49,
54,
10,
79
] | 81 | [
"54-49=5",
"10/5=2",
"79+2=81"
] | Current State: 81:[49, 54, 10, 79], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [10, 79, 5]
Generated Node #2: [10, 79, 5] from Operation: 54-49=5
Current State: 81:[10, 79, 5], Operations: ['54-49=5']
Exploring Operation: 10/5=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 10/5=2
Current State: 81:[79, 2], Operations: ['54-49=5', '10/5=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
73,
84,
61,
9
] | 81 | [
"84-73=11",
"61+9=70",
"11+70=81"
] | Current State: 81:[73, 84, 61, 9], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [61, 9, 11]
Generated Node #2: [61, 9, 11] from Operation: 84-73=11
Current State: 81:[61, 9, 11], Operations: ['84-73=11']
Exploring Operation: 61+9=70, Resulting Numbers: [11, 70]
Generated Node #3: [11, 70] from Operation: 61+9=70
Current State: 81:[11, 70], Operations: ['84-73=11', '61+9=70']
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
63,
32,
33,
26
] | 13 | [
"63-32=31",
"33-31=2",
"26/2=13"
] | Current State: 13:[63, 32, 33, 26], Operations: []
Exploring Operation: 63-32=31, Resulting Numbers: [33, 26, 31]
Generated Node #2: [33, 26, 31] from Operation: 63-32=31
Current State: 13:[33, 26, 31], Operations: ['63-32=31']
Exploring Operation: 33-31=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 33-31=2
Current State: 13:[26, 2], Operations: ['63-32=31', '33-31=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
10,
66,
61,
89
] | 48 | [
"10+66=76",
"89-61=28",
"76-28=48"
] | Current State: 48:[10, 66, 61, 89], Operations: []
Exploring Operation: 10+66=76, Resulting Numbers: [61, 89, 76]
Generated Node #2: [61, 89, 76] from Operation: 10+66=76
Current State: 48:[61, 89, 76], Operations: ['10+66=76']
Exploring Operation: 89-61=28, Resulting Numbers: [76, 28]
Generated Node #3: [76, 28] from Operation: 89-61=28
Current State: 48:[76, 28], Operations: ['10+66=76', '89-61=28']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
50,
50,
48,
32
] | 66 | [
"50-48=2",
"32/2=16",
"50+16=66"
] | Current State: 66:[50, 50, 48, 32], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [32, 2]
Generated Node #2: [32, 2] from Operation: 50-48=2
Current State: 66:[32, 2], Operations: ['50-48=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,66 equal: Goal Reached
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
79,
31,
37,
2
] | 87 | [
"79-31=48",
"37+2=39",
"48+39=87"
] | Current State: 87:[79, 31, 37, 2], Operations: []
Exploring Operation: 79-31=48, Resulting Numbers: [37, 2, 48]
Generated Node #2: [37, 2, 48] from Operation: 79-31=48
Current State: 87:[37, 2, 48], Operations: ['79-31=48']
Exploring Operation: 37+2=39, Resulting Numbers: [48, 39]
Generated Node #3: [48, 39] from Operation: 37+2=39
Current State: 87:[48, 39], Operations: ['79-31=48', '37+2=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
52,
94,
22,
74
] | 26 | [
"94-22=72",
"74-72=2",
"52/2=26"
] | Current State: 26:[52, 94, 22, 74], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [52, 74, 72]
Generated Node #2: [52, 74, 72] from Operation: 94-22=72
Current State: 26:[52, 74, 72], Operations: ['94-22=72']
Exploring Operation: 74-72=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 74-72=2
Current State: 26:[52, 2], Operations: ['94-22=72', '74-72=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
32,
27,
42,
40
] | 86 | [
"42-40=2",
"27*2=54",
"32+54=86"
] | Current State: 86:[32, 27, 42, 40], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [32, 27, 2]
Generated Node #2: [32, 27, 2] from Operation: 42-40=2
Current State: 86:[32, 27, 2], Operations: ['42-40=2']
Exploring Operation: 27*2=54, Resulting Numbers: [32, 54]
Generated Node #3: [32, 54] from Operation: 27*2=54
Current State: 86:[32, 54], Operations: ['42-40=2', '27*2=54']
Exploring Operation: 32+54=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
90,
90,
60,
11
] | 11 | [
"90-90=0",
"60*0=0",
"11+0=11"
] | Current State: 11:[90, 90, 60, 11], Operations: []
Exploring Operation: 90-90=0, Resulting Numbers: [60, 11, 0]
Generated Node #2: [60, 11, 0] from Operation: 90-90=0
Current State: 11:[60, 11, 0], Operations: ['90-90=0']
Exploring Operation: 60*0=0, Resulting Numbers: [11, 0]
Generated Node #3: [11, 0] from Operation: 60*0=0
Current State: 11:[11, 0], Operations: ['90-90=0', '60*0=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
22,
4,
92,
6
] | 57 | [
"22+92=114",
"6-4=2",
"114/2=57"
] | Current State: 57:[22, 4, 92, 6], Operations: []
Exploring Operation: 22+92=114, Resulting Numbers: [4, 6, 114]
Generated Node #2: [4, 6, 114] from Operation: 22+92=114
Current State: 57:[4, 6, 114], Operations: ['22+92=114']
Exploring Operation: 6-4=2, Resulting Numbers: [114, 2]
Generated Node #3: [114, 2] from Operation: 6-4=2
Current State: 57:[114, 2], Operations: ['22+92=114', '6-4=2']
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
43,
3,
11,
71
] | 91 | [
"43+11=54",
"3*54=162",
"162-71=91"
] | Current State: 91:[43, 3, 11, 71], Operations: []
Exploring Operation: 43+11=54, Resulting Numbers: [3, 71, 54]
Generated Node #2: [3, 71, 54] from Operation: 43+11=54
Current State: 91:[3, 71, 54], Operations: ['43+11=54']
Exploring Operation: 3*54=162, Resulting Numbers: [71, 162]
Generated Node #3: [71, 162] from Operation: 3*54=162
Current State: 91:[71, 162], Operations: ['43+11=54', '3*54=162']
Exploring Operation: 162-71=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
71,
2,
87,
34
] | 20 | [
"71+2=73",
"87-34=53",
"73-53=20"
] | Current State: 20:[71, 2, 87, 34], Operations: []
Exploring Operation: 71+2=73, Resulting Numbers: [87, 34, 73]
Generated Node #2: [87, 34, 73] from Operation: 71+2=73
Current State: 20:[87, 34, 73], Operations: ['71+2=73']
Exploring Operation: 87-34=53, Resulting Numbers: [73, 53]
Generated Node #3: [73, 53] from Operation: 87-34=53
Current State: 20:[73, 53], Operations: ['71+2=73', '87-34=53']
Exploring Operation: 73-53=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
34,
38,
34,
80
] | 80 | [
"34-34=0",
"38*0=0",
"80+0=80"
] | Current State: 80:[34, 38, 34, 80], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [38, 80, 0]
Generated Node #2: [38, 80, 0] from Operation: 34-34=0
Current State: 80:[38, 80, 0], Operations: ['34-34=0']
Exploring Operation: 38*0=0, Resulting Numbers: [80, 0]
Generated Node #3: [80, 0] from Operation: 38*0=0
Current State: 80:[80, 0], Operations: ['34-34=0', '38*0=0']
Exploring Operation: 80+0=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
14,
60,
3,
14
] | 88 | [
"60-14=46",
"3*14=42",
"46+42=88"
] | Current State: 88:[14, 60, 3, 14], Operations: []
Exploring Operation: 60-14=46, Resulting Numbers: [3, 46]
Generated Node #2: [3, 46] from Operation: 60-14=46
Current State: 88:[3, 46], Operations: ['60-14=46']
Exploring Operation: 3*14=42, Resulting Numbers: [46, 42]
Generated Node #3: [46, 42] from Operation: 3*14=42
Current State: 88:[46, 42], Operations: ['60-14=46', '3*14=42']
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
54,
90,
95,
14
] | 73 | [
"90-54=36",
"95+14=109",
"109-36=73"
] | Current State: 73:[54, 90, 95, 14], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [95, 14, 36]
Generated Node #2: [95, 14, 36] from Operation: 90-54=36
Current State: 73:[95, 14, 36], Operations: ['90-54=36']
Exploring Operation: 95+14=109, Resulting Numbers: [36, 109]
Generated Node #3: [36, 109] from Operation: 95+14=109
Current State: 73:[36, 109], Operations: ['90-54=36', '95+14=109']
Exploring Operation: 109-36=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
6,
51,
60,
8
] | 21 | [
"8-6=2",
"60/2=30",
"51-30=21"
] | Current State: 21:[6, 51, 60, 8], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [51, 60, 2]
Generated Node #2: [51, 60, 2] from Operation: 8-6=2
Current State: 21:[51, 60, 2], Operations: ['8-6=2']
Exploring Operation: 60/2=30, Resulting Numbers: [51, 30]
Generated Node #3: [51, 30] from Operation: 60/2=30
Current State: 21:[51, 30], Operations: ['8-6=2', '60/2=30']
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
9,
98,
20,
5
] | 43 | [
"20-9=11",
"5*11=55",
"98-55=43"
] | Current State: 43:[9, 98, 20, 5], Operations: []
Exploring Operation: 20-9=11, Resulting Numbers: [98, 5, 11]
Generated Node #2: [98, 5, 11] from Operation: 20-9=11
Current State: 43:[98, 5, 11], Operations: ['20-9=11']
Exploring Operation: 5*11=55, Resulting Numbers: [98, 55]
Generated Node #3: [98, 55] from Operation: 5*11=55
Current State: 43:[98, 55], Operations: ['20-9=11', '5*11=55']
Exploring Operation: 98-55=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
20,
4,
63,
26
] | 68 | [
"63-20=43",
"43-26=17",
"4*17=68"
] | Current State: 68:[20, 4, 63, 26], Operations: []
Exploring Operation: 63-20=43, Resulting Numbers: [4, 26, 43]
Generated Node #2: [4, 26, 43] from Operation: 63-20=43
Current State: 68:[4, 26, 43], Operations: ['63-20=43']
Exploring Operation: 43-26=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 43-26=17
Current State: 68:[4, 17], Operations: ['63-20=43', '43-26=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
22,
97,
56,
94
] | 26 | [
"22+56=78",
"97-94=3",
"78/3=26"
] | Current State: 26:[22, 97, 56, 94], Operations: []
Exploring Operation: 22+56=78, Resulting Numbers: [97, 94, 78]
Generated Node #2: [97, 94, 78] from Operation: 22+56=78
Current State: 26:[97, 94, 78], Operations: ['22+56=78']
Exploring Operation: 97-94=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 97-94=3
Current State: 26:[78, 3], Operations: ['22+56=78', '97-94=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
44,
33,
19,
11
] | 41 | [
"44-33=11",
"19+11=30",
"11+30=41"
] | Current State: 41:[44, 33, 19, 11], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [19, 11, 11]
Generated Node #2: [19, 11, 11] from Operation: 44-33=11
Current State: 41:[19, 11, 11], Operations: ['44-33=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,41 equal: Goal Reached
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
71,
29,
2,
5
] | 94 | [
"71-29=42",
"5+42=47",
"2*47=94"
] | Current State: 94:[71, 29, 2, 5], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [2, 5, 42]
Generated Node #2: [2, 5, 42] from Operation: 71-29=42
Current State: 94:[2, 5, 42], Operations: ['71-29=42']
Exploring Operation: 5+42=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 5+42=47
Current State: 94:[2, 47], Operations: ['71-29=42', '5+42=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
35,
55,
13,
70
] | 97 | [
"70/35=2",
"55*2=110",
"110-13=97"
] | Current State: 97:[35, 55, 13, 70], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [55, 13, 2]
Generated Node #2: [55, 13, 2] from Operation: 70/35=2
Current State: 97:[55, 13, 2], Operations: ['70/35=2']
Exploring Operation: 55*2=110, Resulting Numbers: [13, 110]
Generated Node #3: [13, 110] from Operation: 55*2=110
Current State: 97:[13, 110], Operations: ['70/35=2', '55*2=110']
Exploring Operation: 110-13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
97,
33,
76,
68
] | 80 | [
"97-33=64",
"76+68=144",
"144-64=80"
] | Current State: 80:[97, 33, 76, 68], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [76, 68, 64]
Generated Node #2: [76, 68, 64] from Operation: 97-33=64
Current State: 80:[76, 68, 64], Operations: ['97-33=64']
Exploring Operation: 76+68=144, Resulting Numbers: [64, 144]
Generated Node #3: [64, 144] from Operation: 76+68=144
Current State: 80:[64, 144], Operations: ['97-33=64', '76+68=144']
Exploring Operation: 144-64=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
62,
21,
29,
8
] | 61 | [
"29-21=8",
"8/8=1",
"62-1=61"
] | Current State: 61:[62, 21, 29, 8], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [62, 8, 8]
Generated Node #2: [62, 8, 8] from Operation: 29-21=8
Current State: 61:[62, 8, 8], Operations: ['29-21=8']
Exploring Operation: 8/8=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 8/8=1
Current State: 61:[62, 1], Operations: ['29-21=8', '8/8=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
3,
79,
1,
93
] | 12 | [
"3+79=82",
"1+93=94",
"94-82=12"
] | Current State: 12:[3, 79, 1, 93], Operations: []
Exploring Operation: 3+79=82, Resulting Numbers: [1, 93, 82]
Generated Node #2: [1, 93, 82] from Operation: 3+79=82
Current State: 12:[1, 93, 82], Operations: ['3+79=82']
Exploring Operation: 1+93=94, Resulting Numbers: [82, 94]
Generated Node #3: [82, 94] from Operation: 1+93=94
Current State: 12:[82, 94], Operations: ['3+79=82', '1+93=94']
Exploring Operation: 94-82=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
44,
28,
70,
38
] | 48 | [
"44-28=16",
"70-38=32",
"16+32=48"
] | Current State: 48:[44, 28, 70, 38], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [70, 38, 16]
Generated Node #2: [70, 38, 16] from Operation: 44-28=16
Current State: 48:[70, 38, 16], Operations: ['44-28=16']
Exploring Operation: 70-38=32, Resulting Numbers: [16, 32]
Generated Node #3: [16, 32] from Operation: 70-38=32
Current State: 48:[16, 32], Operations: ['44-28=16', '70-38=32']
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
92,
86,
78
] | 44 | [
"86-78=8",
"6*8=48",
"92-48=44"
] | Current State: 44:[6, 92, 86, 78], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [6, 92, 8]
Generated Node #2: [6, 92, 8] from Operation: 86-78=8
Current State: 44:[6, 92, 8], Operations: ['86-78=8']
Exploring Operation: 6*8=48, Resulting Numbers: [92, 48]
Generated Node #3: [92, 48] from Operation: 6*8=48
Current State: 44:[92, 48], Operations: ['86-78=8', '6*8=48']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
59,
6,
74,
32
] | 41 | [
"59+6=65",
"74+32=106",
"106-65=41"
] | Current State: 41:[59, 6, 74, 32], Operations: []
Exploring Operation: 59+6=65, Resulting Numbers: [74, 32, 65]
Generated Node #2: [74, 32, 65] from Operation: 59+6=65
Current State: 41:[74, 32, 65], Operations: ['59+6=65']
Exploring Operation: 74+32=106, Resulting Numbers: [65, 106]
Generated Node #3: [65, 106] from Operation: 74+32=106
Current State: 41:[65, 106], Operations: ['59+6=65', '74+32=106']
Exploring Operation: 106-65=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
48,
54,
31,
84
] | 26 | [
"48*31=1488",
"1488-84=1404",
"1404/54=26"
] | Current State: 26:[48, 54, 31, 84], Operations: []
Exploring Operation: 48*31=1488, Resulting Numbers: [54, 84, 1488]
Generated Node #2: [54, 84, 1488] from Operation: 48*31=1488
Current State: 26:[54, 84, 1488], Operations: ['48*31=1488']
Exploring Operation: 1488-84=1404, Resulting Numbers: [54, 1404]
Generated Node #3: [54, 1404] from Operation: 1488-84=1404
Current State: 26:[54, 1404], Operations: ['48*31=1488', '1488-84=1404']
Exploring Operation: 1404/54=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
53,
41,
38,
41
] | 31 | [
"41*41=1681",
"1681-38=1643",
"1643/53=31"
] | Current State: 31:[53, 41, 38, 41], Operations: []
Exploring Operation: 41*41=1681, Resulting Numbers: [53, 38, 1681]
Generated Node #2: [53, 38, 1681] from Operation: 41*41=1681
Current State: 31:[53, 38, 1681], Operations: ['41*41=1681']
Exploring Operation: 1681-38=1643, Resulting Numbers: [53, 1643]
Generated Node #3: [53, 1643] from Operation: 1681-38=1643
Current State: 31:[53, 1643], Operations: ['41*41=1681', '1681-38=1643']
Exploring Operation: 1643/53=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
80,
81,
40,
19
] | 20 | [
"81-80=1",
"40-19=21",
"21-1=20"
] | Current State: 20:[80, 81, 40, 19], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [40, 19, 1]
Generated Node #2: [40, 19, 1] from Operation: 81-80=1
Current State: 20:[40, 19, 1], Operations: ['81-80=1']
Exploring Operation: 40-19=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 40-19=21
Current State: 20:[1, 21], Operations: ['81-80=1', '40-19=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
30,
19,
50,
8
] | 10 | [
"30*8=240",
"240-50=190",
"190/19=10"
] | Current State: 10:[30, 19, 50, 8], Operations: []
Exploring Operation: 30*8=240, Resulting Numbers: [19, 50, 240]
Generated Node #2: [19, 50, 240] from Operation: 30*8=240
Current State: 10:[19, 50, 240], Operations: ['30*8=240']
Exploring Operation: 240-50=190, Resulting Numbers: [19, 190]
Generated Node #3: [19, 190] from Operation: 240-50=190
Current State: 10:[19, 190], Operations: ['30*8=240', '240-50=190']
Exploring Operation: 190/19=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
47,
88,
51,
41
] | 31 | [
"88-47=41",
"51-41=10",
"41-10=31"
] | Current State: 31:[47, 88, 51, 41], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [51, 41, 41]
Generated Node #2: [51, 41, 41] from Operation: 88-47=41
Current State: 31:[51, 41, 41], Operations: ['88-47=41']
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,31 equal: Goal Reached
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
34,
73,
2,
62
] | 21 | [
"73-34=39",
"62-2=60",
"60-39=21"
] | Current State: 21:[34, 73, 2, 62], Operations: []
Exploring Operation: 73-34=39, Resulting Numbers: [2, 62, 39]
Generated Node #2: [2, 62, 39] from Operation: 73-34=39
Current State: 21:[2, 62, 39], Operations: ['73-34=39']
Exploring Operation: 62-2=60, Resulting Numbers: [39, 60]
Generated Node #3: [39, 60] from Operation: 62-2=60
Current State: 21:[39, 60], Operations: ['73-34=39', '62-2=60']
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
83,
15,
2,
60
] | 79 | [
"83+15=98",
"60+98=158",
"158/2=79"
] | Current State: 79:[83, 15, 2, 60], Operations: []
Exploring Operation: 83+15=98, Resulting Numbers: [2, 60, 98]
Generated Node #2: [2, 60, 98] from Operation: 83+15=98
Current State: 79:[2, 60, 98], Operations: ['83+15=98']
Exploring Operation: 60+98=158, Resulting Numbers: [2, 158]
Generated Node #3: [2, 158] from Operation: 60+98=158
Current State: 79:[2, 158], Operations: ['83+15=98', '60+98=158']
Exploring Operation: 158/2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
4,
78,
37,
64
] | 100 | [
"78-37=41",
"4*41=164",
"164-64=100"
] | Current State: 100:[4, 78, 37, 64], Operations: []
Exploring Operation: 78-37=41, Resulting Numbers: [4, 64, 41]
Generated Node #2: [4, 64, 41] from Operation: 78-37=41
Current State: 100:[4, 64, 41], Operations: ['78-37=41']
Exploring Operation: 4*41=164, Resulting Numbers: [64, 164]
Generated Node #3: [64, 164] from Operation: 4*41=164
Current State: 100:[64, 164], Operations: ['78-37=41', '4*41=164']
Exploring Operation: 164-64=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
98,
27,
16,
59
] | 96 | [
"59-27=32",
"32/16=2",
"98-2=96"
] | Current State: 96:[98, 27, 16, 59], Operations: []
Exploring Operation: 59-27=32, Resulting Numbers: [98, 16, 32]
Generated Node #2: [98, 16, 32] from Operation: 59-27=32
Current State: 96:[98, 16, 32], Operations: ['59-27=32']
Exploring Operation: 32/16=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 32/16=2
Current State: 96:[98, 2], Operations: ['59-27=32', '32/16=2']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
75,
39,
83,
2
] | 43 | [
"83-75=8",
"8/2=4",
"39+4=43"
] | Current State: 43:[75, 39, 83, 2], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [39, 2, 8]
Generated Node #2: [39, 2, 8] from Operation: 83-75=8
Current State: 43:[39, 2, 8], Operations: ['83-75=8']
Exploring Operation: 8/2=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 8/2=4
Current State: 43:[39, 4], Operations: ['83-75=8', '8/2=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
84,
13,
7,
63
] | 27 | [
"84+13=97",
"7+63=70",
"97-70=27"
] | Current State: 27:[84, 13, 7, 63], Operations: []
Exploring Operation: 84+13=97, Resulting Numbers: [7, 63, 97]
Generated Node #2: [7, 63, 97] from Operation: 84+13=97
Current State: 27:[7, 63, 97], Operations: ['84+13=97']
Exploring Operation: 7+63=70, Resulting Numbers: [97, 70]
Generated Node #3: [97, 70] from Operation: 7+63=70
Current State: 27:[97, 70], Operations: ['84+13=97', '7+63=70']
Exploring Operation: 97-70=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
78,
70,
51,
67
] | 30 | [
"78+70=148",
"51+67=118",
"148-118=30"
] | Current State: 30:[78, 70, 51, 67], Operations: []
Exploring Operation: 78+70=148, Resulting Numbers: [51, 67, 148]
Generated Node #2: [51, 67, 148] from Operation: 78+70=148
Current State: 30:[51, 67, 148], Operations: ['78+70=148']
Exploring Operation: 51+67=118, Resulting Numbers: [148, 118]
Generated Node #3: [148, 118] from Operation: 51+67=118
Current State: 30:[148, 118], Operations: ['78+70=148', '51+67=118']
Exploring Operation: 148-118=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
45,
6,
41,
17
] | 41 | [
"45-41=4",
"6*4=24",
"17+24=41"
] | Current State: 41:[45, 6, 41, 17], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [6, 17, 4]
Generated Node #2: [6, 17, 4] from Operation: 45-41=4
Current State: 41:[6, 17, 4], Operations: ['45-41=4']
Exploring Operation: 6*4=24, Resulting Numbers: [17, 24]
Generated Node #3: [17, 24] from Operation: 6*4=24
Current State: 41:[17, 24], Operations: ['45-41=4', '6*4=24']
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
16,
35,
70,
42
] | 50 | [
"16*35=560",
"560/70=8",
"42+8=50"
] | Current State: 50:[16, 35, 70, 42], Operations: []
Exploring Operation: 16*35=560, Resulting Numbers: [70, 42, 560]
Generated Node #2: [70, 42, 560] from Operation: 16*35=560
Current State: 50:[70, 42, 560], Operations: ['16*35=560']
Exploring Operation: 560/70=8, Resulting Numbers: [42, 8]
Generated Node #3: [42, 8] from Operation: 560/70=8
Current State: 50:[42, 8], Operations: ['16*35=560', '560/70=8']
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
63,
56,
64,
16
] | 49 | [
"56*16=896",
"896/64=14",
"63-14=49"
] | Current State: 49:[63, 56, 64, 16], Operations: []
Exploring Operation: 56*16=896, Resulting Numbers: [63, 64, 896]
Generated Node #2: [63, 64, 896] from Operation: 56*16=896
Current State: 49:[63, 64, 896], Operations: ['56*16=896']
Exploring Operation: 896/64=14, Resulting Numbers: [63, 14]
Generated Node #3: [63, 14] from Operation: 896/64=14
Current State: 49:[63, 14], Operations: ['56*16=896', '896/64=14']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
64,
76,
5,
43
] | 60 | [
"76-64=12",
"5+43=48",
"12+48=60"
] | Current State: 60:[64, 76, 5, 43], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [5, 43, 12]
Generated Node #2: [5, 43, 12] from Operation: 76-64=12
Current State: 60:[5, 43, 12], Operations: ['76-64=12']
Exploring Operation: 5+43=48, Resulting Numbers: [12, 48]
Generated Node #3: [12, 48] from Operation: 5+43=48
Current State: 60:[12, 48], Operations: ['76-64=12', '5+43=48']
Exploring Operation: 12+48=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
54,
19,
61,
84
] | 52 | [
"61-19=42",
"84/42=2",
"54-2=52"
] | Current State: 52:[54, 19, 61, 84], Operations: []
Exploring Operation: 61-19=42, Resulting Numbers: [54, 84, 42]
Generated Node #2: [54, 84, 42] from Operation: 61-19=42
Current State: 52:[54, 84, 42], Operations: ['61-19=42']
Exploring Operation: 84/42=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 84/42=2
Current State: 52:[54, 2], Operations: ['61-19=42', '84/42=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
65,
4,
91,
2
] | 47 | [
"65+4=69",
"2*69=138",
"138-91=47"
] | Current State: 47:[65, 4, 91, 2], Operations: []
Exploring Operation: 65+4=69, Resulting Numbers: [91, 2, 69]
Generated Node #2: [91, 2, 69] from Operation: 65+4=69
Current State: 47:[91, 2, 69], Operations: ['65+4=69']
Exploring Operation: 2*69=138, Resulting Numbers: [91, 138]
Generated Node #3: [91, 138] from Operation: 2*69=138
Current State: 47:[91, 138], Operations: ['65+4=69', '2*69=138']
Exploring Operation: 138-91=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
42,
32,
36,
77
] | 91 | [
"36-32=4",
"42*4=168",
"168-77=91"
] | Current State: 91:[42, 32, 36, 77], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [42, 77, 4]
Generated Node #2: [42, 77, 4] from Operation: 36-32=4
Current State: 91:[42, 77, 4], Operations: ['36-32=4']
Exploring Operation: 42*4=168, Resulting Numbers: [77, 168]
Generated Node #3: [77, 168] from Operation: 42*4=168
Current State: 91:[77, 168], Operations: ['36-32=4', '42*4=168']
Exploring Operation: 168-77=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
68,
52,
71,
34
] | 97 | [
"68/34=2",
"52/2=26",
"71+26=97"
] | Current State: 97:[68, 52, 71, 34], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [52, 71, 2]
Generated Node #2: [52, 71, 2] from Operation: 68/34=2
Current State: 97:[52, 71, 2], Operations: ['68/34=2']
Exploring Operation: 52/2=26, Resulting Numbers: [71, 26]
Generated Node #3: [71, 26] from Operation: 52/2=26
Current State: 97:[71, 26], Operations: ['68/34=2', '52/2=26']
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
32,
54,
35,
51
] | 96 | [
"54+51=105",
"32*105=3360",
"3360/35=96"
] | Current State: 96:[32, 54, 35, 51], Operations: []
Exploring Operation: 54+51=105, Resulting Numbers: [32, 35, 105]
Generated Node #2: [32, 35, 105] from Operation: 54+51=105
Current State: 96:[32, 35, 105], Operations: ['54+51=105']
Exploring Operation: 32*105=3360, Resulting Numbers: [35, 3360]
Generated Node #3: [35, 3360] from Operation: 32*105=3360
Current State: 96:[35, 3360], Operations: ['54+51=105', '32*105=3360']
Exploring Operation: 3360/35=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
59,
49,
96,
25
] | 55 | [
"49-25=24",
"96/24=4",
"59-4=55"
] | Current State: 55:[59, 49, 96, 25], Operations: []
Exploring Operation: 49-25=24, Resulting Numbers: [59, 96, 24]
Generated Node #2: [59, 96, 24] from Operation: 49-25=24
Current State: 55:[59, 96, 24], Operations: ['49-25=24']
Exploring Operation: 96/24=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 96/24=4
Current State: 55:[59, 4], Operations: ['49-25=24', '96/24=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
61,
98,
2,
70
] | 91 | [
"61+98=159",
"70-2=68",
"159-68=91"
] | Current State: 91:[61, 98, 2, 70], Operations: []
Exploring Operation: 61+98=159, Resulting Numbers: [2, 70, 159]
Generated Node #2: [2, 70, 159] from Operation: 61+98=159
Current State: 91:[2, 70, 159], Operations: ['61+98=159']
Exploring Operation: 70-2=68, Resulting Numbers: [159, 68]
Generated Node #3: [159, 68] from Operation: 70-2=68
Current State: 91:[159, 68], Operations: ['61+98=159', '70-2=68']
Exploring Operation: 159-68=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
46,
25,
25,
75
] | 92 | [
"75-25=50",
"46*50=2300",
"2300/25=92"
] | Current State: 92:[46, 25, 25, 75], Operations: []
Exploring Operation: 75-25=50, Resulting Numbers: [46, 50]
Generated Node #2: [46, 50] from Operation: 75-25=50
Current State: 92:[46, 50], Operations: ['75-25=50']
Exploring Operation: 46*50=2300, Resulting Numbers: [2300]
2300,92 equal: Goal Reached
Exploring Operation: 2300/25=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
10,
18,
64,
58
] | 66 | [
"18-10=8",
"64/8=8",
"58+8=66"
] | Current State: 66:[10, 18, 64, 58], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [64, 58, 8]
Generated Node #2: [64, 58, 8] from Operation: 18-10=8
Current State: 66:[64, 58, 8], Operations: ['18-10=8']
Exploring Operation: 64/8=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 64/8=8
Current State: 66:[58, 8], Operations: ['18-10=8', '64/8=8']
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
78,
3,
22,
73
] | 85 | [
"78+73=151",
"3*22=66",
"151-66=85"
] | Current State: 85:[78, 3, 22, 73], Operations: []
Exploring Operation: 78+73=151, Resulting Numbers: [3, 22, 151]
Generated Node #2: [3, 22, 151] from Operation: 78+73=151
Current State: 85:[3, 22, 151], Operations: ['78+73=151']
Exploring Operation: 3*22=66, Resulting Numbers: [151, 66]
Generated Node #3: [151, 66] from Operation: 3*22=66
Current State: 85:[151, 66], Operations: ['78+73=151', '3*22=66']
Exploring Operation: 151-66=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
26,
51,
1,
7
] | 71 | [
"26+51=77",
"7-1=6",
"77-6=71"
] | Current State: 71:[26, 51, 1, 7], Operations: []
Exploring Operation: 26+51=77, Resulting Numbers: [1, 7, 77]
Generated Node #2: [1, 7, 77] from Operation: 26+51=77
Current State: 71:[1, 7, 77], Operations: ['26+51=77']
Exploring Operation: 7-1=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 7-1=6
Current State: 71:[77, 6], Operations: ['26+51=77', '7-1=6']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
80,
21,
42,
15
] | 93 | [
"80+15=95",
"42/21=2",
"95-2=93"
] | Current State: 93:[80, 21, 42, 15], Operations: []
Exploring Operation: 80+15=95, Resulting Numbers: [21, 42, 95]
Generated Node #2: [21, 42, 95] from Operation: 80+15=95
Current State: 93:[21, 42, 95], Operations: ['80+15=95']
Exploring Operation: 42/21=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 42/21=2
Current State: 93:[95, 2], Operations: ['80+15=95', '42/21=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
16,
67,
6,
28
] | 29 | [
"67-16=51",
"28-6=22",
"51-22=29"
] | Current State: 29:[16, 67, 6, 28], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [6, 28, 51]
Generated Node #2: [6, 28, 51] from Operation: 67-16=51
Current State: 29:[6, 28, 51], Operations: ['67-16=51']
Exploring Operation: 28-6=22, Resulting Numbers: [51, 22]
Generated Node #3: [51, 22] from Operation: 28-6=22
Current State: 29:[51, 22], Operations: ['67-16=51', '28-6=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
8,
4,
91,
80
] | 69 | [
"8/4=2",
"80*2=160",
"160-91=69"
] | Current State: 69:[8, 4, 91, 80], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [91, 80, 2]
Generated Node #2: [91, 80, 2] from Operation: 8/4=2
Current State: 69:[91, 80, 2], Operations: ['8/4=2']
Exploring Operation: 80*2=160, Resulting Numbers: [91, 160]
Generated Node #3: [91, 160] from Operation: 80*2=160
Current State: 69:[91, 160], Operations: ['8/4=2', '80*2=160']
Exploring Operation: 160-91=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
7,
46,
22,
54
] | 71 | [
"46-7=39",
"54-22=32",
"39+32=71"
] | Current State: 71:[7, 46, 22, 54], Operations: []
Exploring Operation: 46-7=39, Resulting Numbers: [22, 54, 39]
Generated Node #2: [22, 54, 39] from Operation: 46-7=39
Current State: 71:[22, 54, 39], Operations: ['46-7=39']
Exploring Operation: 54-22=32, Resulting Numbers: [39, 32]
Generated Node #3: [39, 32] from Operation: 54-22=32
Current State: 71:[39, 32], Operations: ['46-7=39', '54-22=32']
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
68,
3,
40,
44
] | 40 | [
"68-40=28",
"3*28=84",
"84-44=40"
] | Current State: 40:[68, 3, 40, 44], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [3, 44, 28]
Generated Node #2: [3, 44, 28] from Operation: 68-40=28
Current State: 40:[3, 44, 28], Operations: ['68-40=28']
Exploring Operation: 3*28=84, Resulting Numbers: [44, 84]
Generated Node #3: [44, 84] from Operation: 3*28=84
Current State: 40:[44, 84], Operations: ['68-40=28', '3*28=84']
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
9,
2,
18,
3
] | 17 | [
"9+2=11",
"18/3=6",
"11+6=17"
] | Current State: 17:[9, 2, 18, 3], Operations: []
Exploring Operation: 9+2=11, Resulting Numbers: [18, 3, 11]
Generated Node #2: [18, 3, 11] from Operation: 9+2=11
Current State: 17:[18, 3, 11], Operations: ['9+2=11']
Exploring Operation: 18/3=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 18/3=6
Current State: 17:[11, 6], Operations: ['9+2=11', '18/3=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
40,
71,
40,
45
] | 26 | [
"40+71=111",
"40+45=85",
"111-85=26"
] | Current State: 26:[40, 71, 40, 45], Operations: []
Exploring Operation: 40+71=111, Resulting Numbers: [45, 111]
Generated Node #2: [45, 111] from Operation: 40+71=111
Current State: 26:[45, 111], Operations: ['40+71=111']
Exploring Operation: 40+45=85, Resulting Numbers: [111, 85]
Generated Node #3: [111, 85] from Operation: 40+45=85
Current State: 26:[111, 85], Operations: ['40+71=111', '40+45=85']
Exploring Operation: 111-85=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
34,
6,
29,
5
] | 52 | [
"34-6=28",
"29-5=24",
"28+24=52"
] | Current State: 52:[34, 6, 29, 5], Operations: []
Exploring Operation: 34-6=28, Resulting Numbers: [29, 5, 28]
Generated Node #2: [29, 5, 28] from Operation: 34-6=28
Current State: 52:[29, 5, 28], Operations: ['34-6=28']
Exploring Operation: 29-5=24, Resulting Numbers: [28, 24]
Generated Node #3: [28, 24] from Operation: 29-5=24
Current State: 52:[28, 24], Operations: ['34-6=28', '29-5=24']
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
71,
22,
99,
2
] | 12 | [
"71+22=93",
"99-93=6",
"2*6=12"
] | Current State: 12:[71, 22, 99, 2], Operations: []
Exploring Operation: 71+22=93, Resulting Numbers: [99, 2, 93]
Generated Node #2: [99, 2, 93] from Operation: 71+22=93
Current State: 12:[99, 2, 93], Operations: ['71+22=93']
Exploring Operation: 99-93=6, Resulting Numbers: [2, 6]
Generated Node #3: [2, 6] from Operation: 99-93=6
Current State: 12:[2, 6], Operations: ['71+22=93', '99-93=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
56,
75,
48,
91
] | 24 | [
"75-56=19",
"91-48=43",
"43-19=24"
] | Current State: 24:[56, 75, 48, 91], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [48, 91, 19]
Generated Node #2: [48, 91, 19] from Operation: 75-56=19
Current State: 24:[48, 91, 19], Operations: ['75-56=19']
Exploring Operation: 91-48=43, Resulting Numbers: [19, 43]
Generated Node #3: [19, 43] from Operation: 91-48=43
Current State: 24:[19, 43], Operations: ['75-56=19', '91-48=43']
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
7,
6,
21,
49
] | 67 | [
"21/7=3",
"6*3=18",
"49+18=67"
] | Current State: 67:[7, 6, 21, 49], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [6, 49, 3]
Generated Node #2: [6, 49, 3] from Operation: 21/7=3
Current State: 67:[6, 49, 3], Operations: ['21/7=3']
Exploring Operation: 6*3=18, Resulting Numbers: [49, 18]
Generated Node #3: [49, 18] from Operation: 6*3=18
Current State: 67:[49, 18], Operations: ['21/7=3', '6*3=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
19,
60,
20,
34
] | 94 | [
"20-19=1",
"60+34=94",
"1*94=94"
] | Current State: 94:[19, 60, 20, 34], Operations: []
Exploring Operation: 20-19=1, Resulting Numbers: [60, 34, 1]
Generated Node #2: [60, 34, 1] from Operation: 20-19=1
Current State: 94:[60, 34, 1], Operations: ['20-19=1']
Exploring Operation: 60+34=94, Resulting Numbers: [1, 94]
Generated Node #3: [1, 94] from Operation: 60+34=94
Current State: 94:[1, 94], Operations: ['20-19=1', '60+34=94']
Exploring Operation: 1*94=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
10,
10,
78,
4
] | 32 | [
"10+78=88",
"88/4=22",
"10+22=32"
] | Current State: 32:[10, 10, 78, 4], Operations: []
Exploring Operation: 10+78=88, Resulting Numbers: [4, 88]
Generated Node #2: [4, 88] from Operation: 10+78=88
Current State: 32:[4, 88], Operations: ['10+78=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,32 equal: Goal Reached
Exploring Operation: 10+22=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
15,
48,
96,
18
] | 80 | [
"18-15=3",
"48/3=16",
"96-16=80"
] | Current State: 80:[15, 48, 96, 18], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [48, 96, 3]
Generated Node #2: [48, 96, 3] from Operation: 18-15=3
Current State: 80:[48, 96, 3], Operations: ['18-15=3']
Exploring Operation: 48/3=16, Resulting Numbers: [96, 16]
Generated Node #3: [96, 16] from Operation: 48/3=16
Current State: 80:[96, 16], Operations: ['18-15=3', '48/3=16']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
59,
92,
31,
41
] | 71 | [
"92*31=2852",
"59+2852=2911",
"2911/41=71"
] | Current State: 71:[59, 92, 31, 41], Operations: []
Exploring Operation: 92*31=2852, Resulting Numbers: [59, 41, 2852]
Generated Node #2: [59, 41, 2852] from Operation: 92*31=2852
Current State: 71:[59, 41, 2852], Operations: ['92*31=2852']
Exploring Operation: 59+2852=2911, Resulting Numbers: [41, 2911]
Generated Node #3: [41, 2911] from Operation: 59+2852=2911
Current State: 71:[41, 2911], Operations: ['92*31=2852', '59+2852=2911']
Exploring Operation: 2911/41=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
83,
26,
90,
35
] | 73 | [
"35-26=9",
"90/9=10",
"83-10=73"
] | Current State: 73:[83, 26, 90, 35], Operations: []
Exploring Operation: 35-26=9, Resulting Numbers: [83, 90, 9]
Generated Node #2: [83, 90, 9] from Operation: 35-26=9
Current State: 73:[83, 90, 9], Operations: ['35-26=9']
Exploring Operation: 90/9=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 90/9=10
Current State: 73:[83, 10], Operations: ['35-26=9', '90/9=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
63,
85,
3,
18
] | 84 | [
"85-63=22",
"3*22=66",
"18+66=84"
] | Current State: 84:[63, 85, 3, 18], Operations: []
Exploring Operation: 85-63=22, Resulting Numbers: [3, 18, 22]
Generated Node #2: [3, 18, 22] from Operation: 85-63=22
Current State: 84:[3, 18, 22], Operations: ['85-63=22']
Exploring Operation: 3*22=66, Resulting Numbers: [18, 66]
Generated Node #3: [18, 66] from Operation: 3*22=66
Current State: 84:[18, 66], Operations: ['85-63=22', '3*22=66']
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
32,
86,
7
] | 51 | [
"15*7=105",
"86-32=54",
"105-54=51"
] | Current State: 51:[15, 32, 86, 7], Operations: []
Exploring Operation: 15*7=105, Resulting Numbers: [32, 86, 105]
Generated Node #2: [32, 86, 105] from Operation: 15*7=105
Current State: 51:[32, 86, 105], Operations: ['15*7=105']
Exploring Operation: 86-32=54, Resulting Numbers: [105, 54]
Generated Node #3: [105, 54] from Operation: 86-32=54
Current State: 51:[105, 54], Operations: ['15*7=105', '86-32=54']
Exploring Operation: 105-54=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
76,
42,
90,
59
] | 87 | [
"76+42=118",
"90-59=31",
"118-31=87"
] | Current State: 87:[76, 42, 90, 59], Operations: []
Exploring Operation: 76+42=118, Resulting Numbers: [90, 59, 118]
Generated Node #2: [90, 59, 118] from Operation: 76+42=118
Current State: 87:[90, 59, 118], Operations: ['76+42=118']
Exploring Operation: 90-59=31, Resulting Numbers: [118, 31]
Generated Node #3: [118, 31] from Operation: 90-59=31
Current State: 87:[118, 31], Operations: ['76+42=118', '90-59=31']
Exploring Operation: 118-31=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
55,
24,
28,
4
] | 55 | [
"55+24=79",
"28-4=24",
"79-24=55"
] | Current State: 55:[55, 24, 28, 4], Operations: []
Exploring Operation: 55+24=79, Resulting Numbers: [28, 4, 79]
Generated Node #2: [28, 4, 79] from Operation: 55+24=79
Current State: 55:[28, 4, 79], Operations: ['55+24=79']
Exploring Operation: 28-4=24, Resulting Numbers: [79, 24]
Generated Node #3: [79, 24] from Operation: 28-4=24
Current State: 55:[79, 24], Operations: ['55+24=79', '28-4=24']
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
22,
23,
21,
82
] | 38 | [
"23-21=2",
"22*2=44",
"82-44=38"
] | Current State: 38:[22, 23, 21, 82], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [22, 82, 2]
Generated Node #2: [22, 82, 2] from Operation: 23-21=2
Current State: 38:[22, 82, 2], Operations: ['23-21=2']
Exploring Operation: 22*2=44, Resulting Numbers: [82, 44]
Generated Node #3: [82, 44] from Operation: 22*2=44
Current State: 38:[82, 44], Operations: ['23-21=2', '22*2=44']
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
65,
86,
45,
8
] | 58 | [
"86-65=21",
"45-8=37",
"21+37=58"
] | Current State: 58:[65, 86, 45, 8], Operations: []
Exploring Operation: 86-65=21, Resulting Numbers: [45, 8, 21]
Generated Node #2: [45, 8, 21] from Operation: 86-65=21
Current State: 58:[45, 8, 21], Operations: ['86-65=21']
Exploring Operation: 45-8=37, Resulting Numbers: [21, 37]
Generated Node #3: [21, 37] from Operation: 45-8=37
Current State: 58:[21, 37], Operations: ['86-65=21', '45-8=37']
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
13,
3,
17,
9
] | 22 | [
"13*9=117",
"117/3=39",
"39-17=22"
] | Current State: 22:[13, 3, 17, 9], Operations: []
Exploring Operation: 13*9=117, Resulting Numbers: [3, 17, 117]
Generated Node #2: [3, 17, 117] from Operation: 13*9=117
Current State: 22:[3, 17, 117], Operations: ['13*9=117']
Exploring Operation: 117/3=39, Resulting Numbers: [17, 39]
Generated Node #3: [17, 39] from Operation: 117/3=39
Current State: 22:[17, 39], Operations: ['13*9=117', '117/3=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
88,
18,
47,
46
] | 70 | [
"88-18=70",
"47-46=1",
"70*1=70"
] | Current State: 70:[88, 18, 47, 46], Operations: []
Exploring Operation: 88-18=70, Resulting Numbers: [47, 46, 70]
Generated Node #2: [47, 46, 70] from Operation: 88-18=70
Current State: 70:[47, 46, 70], Operations: ['88-18=70']
Exploring Operation: 47-46=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 47-46=1
Current State: 70:[70, 1], Operations: ['88-18=70', '47-46=1']
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
33,
35,
66,
57
] | 75 | [
"35-33=2",
"66*2=132",
"132-57=75"
] | Current State: 75:[33, 35, 66, 57], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [66, 57, 2]
Generated Node #2: [66, 57, 2] from Operation: 35-33=2
Current State: 75:[66, 57, 2], Operations: ['35-33=2']
Exploring Operation: 66*2=132, Resulting Numbers: [57, 132]
Generated Node #3: [57, 132] from Operation: 66*2=132
Current State: 75:[57, 132], Operations: ['35-33=2', '66*2=132']
Exploring Operation: 132-57=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
15,
79,
32,
2
] | 45 | [
"32-15=17",
"2*17=34",
"79-34=45"
] | Current State: 45:[15, 79, 32, 2], Operations: []
Exploring Operation: 32-15=17, Resulting Numbers: [79, 2, 17]
Generated Node #2: [79, 2, 17] from Operation: 32-15=17
Current State: 45:[79, 2, 17], Operations: ['32-15=17']
Exploring Operation: 2*17=34, Resulting Numbers: [79, 34]
Generated Node #3: [79, 34] from Operation: 2*17=34
Current State: 45:[79, 34], Operations: ['32-15=17', '2*17=34']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
28,
43,
78,
82
] | 69 | [
"82-78=4",
"28*4=112",
"112-43=69"
] | Current State: 69:[28, 43, 78, 82], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [28, 43, 4]
Generated Node #2: [28, 43, 4] from Operation: 82-78=4
Current State: 69:[28, 43, 4], Operations: ['82-78=4']
Exploring Operation: 28*4=112, Resulting Numbers: [43, 112]
Generated Node #3: [43, 112] from Operation: 28*4=112
Current State: 69:[43, 112], Operations: ['82-78=4', '28*4=112']
Exploring Operation: 112-43=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
44,
86,
3,
94
] | 39 | [
"44+86=130",
"94-3=91",
"130-91=39"
] | Current State: 39:[44, 86, 3, 94], Operations: []
Exploring Operation: 44+86=130, Resulting Numbers: [3, 94, 130]
Generated Node #2: [3, 94, 130] from Operation: 44+86=130
Current State: 39:[3, 94, 130], Operations: ['44+86=130']
Exploring Operation: 94-3=91, Resulting Numbers: [130, 91]
Generated Node #3: [130, 91] from Operation: 94-3=91
Current State: 39:[130, 91], Operations: ['44+86=130', '94-3=91']
Exploring Operation: 130-91=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
32,
61,
1,
57
] | 85 | [
"61-32=29",
"57-1=56",
"29+56=85"
] | Current State: 85:[32, 61, 1, 57], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [1, 57, 29]
Generated Node #2: [1, 57, 29] from Operation: 61-32=29
Current State: 85:[1, 57, 29], Operations: ['61-32=29']
Exploring Operation: 57-1=56, Resulting Numbers: [29, 56]
Generated Node #3: [29, 56] from Operation: 57-1=56
Current State: 85:[29, 56], Operations: ['61-32=29', '57-1=56']
Exploring Operation: 29+56=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
39,
31,
43,
72
] | 41 | [
"39+31=70",
"72-43=29",
"70-29=41"
] | Current State: 41:[39, 31, 43, 72], Operations: []
Exploring Operation: 39+31=70, Resulting Numbers: [43, 72, 70]
Generated Node #2: [43, 72, 70] from Operation: 39+31=70
Current State: 41:[43, 72, 70], Operations: ['39+31=70']
Exploring Operation: 72-43=29, Resulting Numbers: [70, 29]
Generated Node #3: [70, 29] from Operation: 72-43=29
Current State: 41:[70, 29], Operations: ['39+31=70', '72-43=29']
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
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