nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
59,
2,
64,
70
] | 43 | [
"70-59=11",
"64/2=32",
"11+32=43"
] | Current State: 43:[59, 2, 64, 70], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [2, 64, 11]
Generated Node #2: [2, 64, 11] from Operation: 70-59=11
Current State: 43:[2, 64, 11], Operations: ['70-59=11']
Exploring Operation: 64/2=32, Resulting Numbers: [11, 32]
Generated Node #3: [11, 32] from Operation: 64/2=32
Current State: 43:[11, 32], Operations: ['70-59=11', '64/2=32']
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
68,
25,
4,
14
] | 24 | [
"25-14=11",
"4*11=44",
"68-44=24"
] | Current State: 24:[68, 25, 4, 14], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [68, 4, 11]
Generated Node #2: [68, 4, 11] from Operation: 25-14=11
Current State: 24:[68, 4, 11], Operations: ['25-14=11']
Exploring Operation: 4*11=44, Resulting Numbers: [68, 44]
Generated Node #3: [68, 44] from Operation: 4*11=44
Current State: 24:[68, 44], Operations: ['25-14=11', '4*11=44']
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
19,
75,
5,
49
] | 12 | [
"75-19=56",
"49-5=44",
"56-44=12"
] | Current State: 12:[19, 75, 5, 49], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [5, 49, 56]
Generated Node #2: [5, 49, 56] from Operation: 75-19=56
Current State: 12:[5, 49, 56], Operations: ['75-19=56']
Exploring Operation: 49-5=44, Resulting Numbers: [56, 44]
Generated Node #3: [56, 44] from Operation: 49-5=44
Current State: 12:[56, 44], Operations: ['75-19=56', '49-5=44']
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
34,
65,
96,
39
] | 83 | [
"39-34=5",
"65/5=13",
"96-13=83"
] | Current State: 83:[34, 65, 96, 39], Operations: []
Exploring Operation: 39-34=5, Resulting Numbers: [65, 96, 5]
Generated Node #2: [65, 96, 5] from Operation: 39-34=5
Current State: 83:[65, 96, 5], Operations: ['39-34=5']
Exploring Operation: 65/5=13, Resulting Numbers: [96, 13]
Generated Node #3: [96, 13] from Operation: 65/5=13
Current State: 83:[96, 13], Operations: ['39-34=5', '65/5=13']
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
92,
98,
23,
2
] | 75 | [
"92/2=46",
"98+23=121",
"121-46=75"
] | Current State: 75:[92, 98, 23, 2], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [98, 23, 46]
Generated Node #2: [98, 23, 46] from Operation: 92/2=46
Current State: 75:[98, 23, 46], Operations: ['92/2=46']
Exploring Operation: 98+23=121, Resulting Numbers: [46, 121]
Generated Node #3: [46, 121] from Operation: 98+23=121
Current State: 75:[46, 121], Operations: ['92/2=46', '98+23=121']
Exploring Operation: 121-46=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
60,
46,
52,
5
] | 50 | [
"60*5=300",
"52-46=6",
"300/6=50"
] | Current State: 50:[60, 46, 52, 5], Operations: []
Exploring Operation: 60*5=300, Resulting Numbers: [46, 52, 300]
Generated Node #2: [46, 52, 300] from Operation: 60*5=300
Current State: 50:[46, 52, 300], Operations: ['60*5=300']
Exploring Operation: 52-46=6, Resulting Numbers: [300, 6]
Generated Node #3: [300, 6] from Operation: 52-46=6
Current State: 50:[300, 6], Operations: ['60*5=300', '52-46=6']
Exploring Operation: 300/6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
3,
90,
85,
27
] | 84 | [
"85-27=58",
"3*58=174",
"174-90=84"
] | Current State: 84:[3, 90, 85, 27], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [3, 90, 58]
Generated Node #2: [3, 90, 58] from Operation: 85-27=58
Current State: 84:[3, 90, 58], Operations: ['85-27=58']
Exploring Operation: 3*58=174, Resulting Numbers: [90, 174]
Generated Node #3: [90, 174] from Operation: 3*58=174
Current State: 84:[90, 174], Operations: ['85-27=58', '3*58=174']
Exploring Operation: 174-90=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
8,
48,
9,
68
] | 99 | [
"48-8=40",
"68-9=59",
"40+59=99"
] | Current State: 99:[8, 48, 9, 68], Operations: []
Exploring Operation: 48-8=40, Resulting Numbers: [9, 68, 40]
Generated Node #2: [9, 68, 40] from Operation: 48-8=40
Current State: 99:[9, 68, 40], Operations: ['48-8=40']
Exploring Operation: 68-9=59, Resulting Numbers: [40, 59]
Generated Node #3: [40, 59] from Operation: 68-9=59
Current State: 99:[40, 59], Operations: ['48-8=40', '68-9=59']
Exploring Operation: 40+59=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
15,
93,
15,
53
] | 41 | [
"15/15=1",
"93-53=40",
"1+40=41"
] | Current State: 41:[15, 93, 15, 53], Operations: []
Exploring Operation: 15/15=1, Resulting Numbers: [93, 53, 1]
Generated Node #2: [93, 53, 1] from Operation: 15/15=1
Current State: 41:[93, 53, 1], Operations: ['15/15=1']
Exploring Operation: 93-53=40, Resulting Numbers: [1, 40]
Generated Node #3: [1, 40] from Operation: 93-53=40
Current State: 41:[1, 40], Operations: ['15/15=1', '93-53=40']
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
99,
70,
75,
25
] | 79 | [
"99-70=29",
"75-25=50",
"29+50=79"
] | Current State: 79:[99, 70, 75, 25], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [75, 25, 29]
Generated Node #2: [75, 25, 29] from Operation: 99-70=29
Current State: 79:[75, 25, 29], Operations: ['99-70=29']
Exploring Operation: 75-25=50, Resulting Numbers: [29, 50]
Generated Node #3: [29, 50] from Operation: 75-25=50
Current State: 79:[29, 50], Operations: ['99-70=29', '75-25=50']
Exploring Operation: 29+50=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
43,
87,
24,
2
] | 47 | [
"43+24=67",
"2*67=134",
"134-87=47"
] | Current State: 47:[43, 87, 24, 2], Operations: []
Exploring Operation: 43+24=67, Resulting Numbers: [87, 2, 67]
Generated Node #2: [87, 2, 67] from Operation: 43+24=67
Current State: 47:[87, 2, 67], Operations: ['43+24=67']
Exploring Operation: 2*67=134, Resulting Numbers: [87, 134]
Generated Node #3: [87, 134] from Operation: 2*67=134
Current State: 47:[87, 134], Operations: ['43+24=67', '2*67=134']
Exploring Operation: 134-87=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
19,
10,
61,
95
] | 56 | [
"95/19=5",
"61-10=51",
"5+51=56"
] | Current State: 56:[19, 10, 61, 95], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [10, 61, 5]
Generated Node #2: [10, 61, 5] from Operation: 95/19=5
Current State: 56:[10, 61, 5], Operations: ['95/19=5']
Exploring Operation: 61-10=51, Resulting Numbers: [5, 51]
Generated Node #3: [5, 51] from Operation: 61-10=51
Current State: 56:[5, 51], Operations: ['95/19=5', '61-10=51']
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
13,
26,
58,
17
] | 99 | [
"26/13=2",
"58*2=116",
"116-17=99"
] | Current State: 99:[13, 26, 58, 17], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [58, 17, 2]
Generated Node #2: [58, 17, 2] from Operation: 26/13=2
Current State: 99:[58, 17, 2], Operations: ['26/13=2']
Exploring Operation: 58*2=116, Resulting Numbers: [17, 116]
Generated Node #3: [17, 116] from Operation: 58*2=116
Current State: 99:[17, 116], Operations: ['26/13=2', '58*2=116']
Exploring Operation: 116-17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
69,
96,
87,
31
] | 47 | [
"69+96=165",
"87+31=118",
"165-118=47"
] | Current State: 47:[69, 96, 87, 31], Operations: []
Exploring Operation: 69+96=165, Resulting Numbers: [87, 31, 165]
Generated Node #2: [87, 31, 165] from Operation: 69+96=165
Current State: 47:[87, 31, 165], Operations: ['69+96=165']
Exploring Operation: 87+31=118, Resulting Numbers: [165, 118]
Generated Node #3: [165, 118] from Operation: 87+31=118
Current State: 47:[165, 118], Operations: ['69+96=165', '87+31=118']
Exploring Operation: 165-118=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
31,
3,
68,
2
] | 19 | [
"31-2=29",
"3*29=87",
"87-68=19"
] | Current State: 19:[31, 3, 68, 2], Operations: []
Exploring Operation: 31-2=29, Resulting Numbers: [3, 68, 29]
Generated Node #2: [3, 68, 29] from Operation: 31-2=29
Current State: 19:[3, 68, 29], Operations: ['31-2=29']
Exploring Operation: 3*29=87, Resulting Numbers: [68, 87]
Generated Node #3: [68, 87] from Operation: 3*29=87
Current State: 19:[68, 87], Operations: ['31-2=29', '3*29=87']
Exploring Operation: 87-68=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
38,
96,
62,
59
] | 95 | [
"96+59=155",
"38*155=5890",
"5890/62=95"
] | Current State: 95:[38, 96, 62, 59], Operations: []
Exploring Operation: 96+59=155, Resulting Numbers: [38, 62, 155]
Generated Node #2: [38, 62, 155] from Operation: 96+59=155
Current State: 95:[38, 62, 155], Operations: ['96+59=155']
Exploring Operation: 38*155=5890, Resulting Numbers: [62, 5890]
Generated Node #3: [62, 5890] from Operation: 38*155=5890
Current State: 95:[62, 5890], Operations: ['96+59=155', '38*155=5890']
Exploring Operation: 5890/62=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
53,
25,
14,
7
] | 80 | [
"53+25=78",
"14/7=2",
"78+2=80"
] | Current State: 80:[53, 25, 14, 7], Operations: []
Exploring Operation: 53+25=78, Resulting Numbers: [14, 7, 78]
Generated Node #2: [14, 7, 78] from Operation: 53+25=78
Current State: 80:[14, 7, 78], Operations: ['53+25=78']
Exploring Operation: 14/7=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 14/7=2
Current State: 80:[78, 2], Operations: ['53+25=78', '14/7=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
22,
42,
56,
2
] | 34 | [
"42-22=20",
"56-2=54",
"54-20=34"
] | Current State: 34:[22, 42, 56, 2], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [56, 2, 20]
Generated Node #2: [56, 2, 20] from Operation: 42-22=20
Current State: 34:[56, 2, 20], Operations: ['42-22=20']
Exploring Operation: 56-2=54, Resulting Numbers: [20, 54]
Generated Node #3: [20, 54] from Operation: 56-2=54
Current State: 34:[20, 54], Operations: ['42-22=20', '56-2=54']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
76,
41,
31
] | 47 | [
"34-31=3",
"41*3=123",
"123-76=47"
] | Current State: 47:[34, 76, 41, 31], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [76, 41, 3]
Generated Node #2: [76, 41, 3] from Operation: 34-31=3
Current State: 47:[76, 41, 3], Operations: ['34-31=3']
Exploring Operation: 41*3=123, Resulting Numbers: [76, 123]
Generated Node #3: [76, 123] from Operation: 41*3=123
Current State: 47:[76, 123], Operations: ['34-31=3', '41*3=123']
Exploring Operation: 123-76=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
46,
26,
23,
80
] | 15 | [
"46+26=72",
"80-23=57",
"72-57=15"
] | Current State: 15:[46, 26, 23, 80], Operations: []
Exploring Operation: 46+26=72, Resulting Numbers: [23, 80, 72]
Generated Node #2: [23, 80, 72] from Operation: 46+26=72
Current State: 15:[23, 80, 72], Operations: ['46+26=72']
Exploring Operation: 80-23=57, Resulting Numbers: [72, 57]
Generated Node #3: [72, 57] from Operation: 80-23=57
Current State: 15:[72, 57], Operations: ['46+26=72', '80-23=57']
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
33,
58,
75,
82
] | 79 | [
"58-33=25",
"75/25=3",
"82-3=79"
] | Current State: 79:[33, 58, 75, 82], Operations: []
Exploring Operation: 58-33=25, Resulting Numbers: [75, 82, 25]
Generated Node #2: [75, 82, 25] from Operation: 58-33=25
Current State: 79:[75, 82, 25], Operations: ['58-33=25']
Exploring Operation: 75/25=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 75/25=3
Current State: 79:[82, 3], Operations: ['58-33=25', '75/25=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
55,
57,
56,
3
] | 19 | [
"56-55=1",
"57/3=19",
"1*19=19"
] | Current State: 19:[55, 57, 56, 3], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [57, 3, 1]
Generated Node #2: [57, 3, 1] from Operation: 56-55=1
Current State: 19:[57, 3, 1], Operations: ['56-55=1']
Exploring Operation: 57/3=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 57/3=19
Current State: 19:[1, 19], Operations: ['56-55=1', '57/3=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
18,
1,
11,
7
] | 76 | [
"18+1=19",
"11-7=4",
"19*4=76"
] | Current State: 76:[18, 1, 11, 7], Operations: []
Exploring Operation: 18+1=19, Resulting Numbers: [11, 7, 19]
Generated Node #2: [11, 7, 19] from Operation: 18+1=19
Current State: 76:[11, 7, 19], Operations: ['18+1=19']
Exploring Operation: 11-7=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 11-7=4
Current State: 76:[19, 4], Operations: ['18+1=19', '11-7=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
30,
4,
15,
92
] | 86 | [
"30/15=2",
"92-4=88",
"88-2=86"
] | Current State: 86:[30, 4, 15, 92], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [4, 92, 2]
Generated Node #2: [4, 92, 2] from Operation: 30/15=2
Current State: 86:[4, 92, 2], Operations: ['30/15=2']
Exploring Operation: 92-4=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 92-4=88
Current State: 86:[2, 88], Operations: ['30/15=2', '92-4=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
55,
11,
5
] | 25 | [
"4*55=220",
"220/11=20",
"5+20=25"
] | Current State: 25:[4, 55, 11, 5], Operations: []
Exploring Operation: 4*55=220, Resulting Numbers: [11, 5, 220]
Generated Node #2: [11, 5, 220] from Operation: 4*55=220
Current State: 25:[11, 5, 220], Operations: ['4*55=220']
Exploring Operation: 220/11=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 220/11=20
Current State: 25:[5, 20], Operations: ['4*55=220', '220/11=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
58,
79,
9,
38
] | 68 | [
"79-58=21",
"9+38=47",
"21+47=68"
] | Current State: 68:[58, 79, 9, 38], Operations: []
Exploring Operation: 79-58=21, Resulting Numbers: [9, 38, 21]
Generated Node #2: [9, 38, 21] from Operation: 79-58=21
Current State: 68:[9, 38, 21], Operations: ['79-58=21']
Exploring Operation: 9+38=47, Resulting Numbers: [21, 47]
Generated Node #3: [21, 47] from Operation: 9+38=47
Current State: 68:[21, 47], Operations: ['79-58=21', '9+38=47']
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
92,
44,
50,
94
] | 38 | [
"94-92=2",
"44*2=88",
"88-50=38"
] | Current State: 38:[92, 44, 50, 94], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [44, 50, 2]
Generated Node #2: [44, 50, 2] from Operation: 94-92=2
Current State: 38:[44, 50, 2], Operations: ['94-92=2']
Exploring Operation: 44*2=88, Resulting Numbers: [50, 88]
Generated Node #3: [50, 88] from Operation: 44*2=88
Current State: 38:[50, 88], Operations: ['94-92=2', '44*2=88']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
65,
71,
75,
1
] | 60 | [
"65+71=136",
"75+1=76",
"136-76=60"
] | Current State: 60:[65, 71, 75, 1], Operations: []
Exploring Operation: 65+71=136, Resulting Numbers: [75, 1, 136]
Generated Node #2: [75, 1, 136] from Operation: 65+71=136
Current State: 60:[75, 1, 136], Operations: ['65+71=136']
Exploring Operation: 75+1=76, Resulting Numbers: [136, 76]
Generated Node #3: [136, 76] from Operation: 75+1=76
Current State: 60:[136, 76], Operations: ['65+71=136', '75+1=76']
Exploring Operation: 136-76=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
57,
50,
37,
47
] | 56 | [
"50-47=3",
"57/3=19",
"37+19=56"
] | Current State: 56:[57, 50, 37, 47], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [57, 37, 3]
Generated Node #2: [57, 37, 3] from Operation: 50-47=3
Current State: 56:[57, 37, 3], Operations: ['50-47=3']
Exploring Operation: 57/3=19, Resulting Numbers: [37, 19]
Generated Node #3: [37, 19] from Operation: 57/3=19
Current State: 56:[37, 19], Operations: ['50-47=3', '57/3=19']
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
74,
40,
47,
66
] | 53 | [
"74-40=34",
"66-47=19",
"34+19=53"
] | Current State: 53:[74, 40, 47, 66], Operations: []
Exploring Operation: 74-40=34, Resulting Numbers: [47, 66, 34]
Generated Node #2: [47, 66, 34] from Operation: 74-40=34
Current State: 53:[47, 66, 34], Operations: ['74-40=34']
Exploring Operation: 66-47=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 66-47=19
Current State: 53:[34, 19], Operations: ['74-40=34', '66-47=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
33,
18,
56,
77
] | 82 | [
"33+18=51",
"56+77=133",
"133-51=82"
] | Current State: 82:[33, 18, 56, 77], Operations: []
Exploring Operation: 33+18=51, Resulting Numbers: [56, 77, 51]
Generated Node #2: [56, 77, 51] from Operation: 33+18=51
Current State: 82:[56, 77, 51], Operations: ['33+18=51']
Exploring Operation: 56+77=133, Resulting Numbers: [51, 133]
Generated Node #3: [51, 133] from Operation: 56+77=133
Current State: 82:[51, 133], Operations: ['33+18=51', '56+77=133']
Exploring Operation: 133-51=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
1,
33,
34,
98
] | 96 | [
"33-1=32",
"98-34=64",
"32+64=96"
] | Current State: 96:[1, 33, 34, 98], Operations: []
Exploring Operation: 33-1=32, Resulting Numbers: [34, 98, 32]
Generated Node #2: [34, 98, 32] from Operation: 33-1=32
Current State: 96:[34, 98, 32], Operations: ['33-1=32']
Exploring Operation: 98-34=64, Resulting Numbers: [32, 64]
Generated Node #3: [32, 64] from Operation: 98-34=64
Current State: 96:[32, 64], Operations: ['33-1=32', '98-34=64']
Exploring Operation: 32+64=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
65,
72,
19,
2
] | 45 | [
"72-65=7",
"19*2=38",
"7+38=45"
] | Current State: 45:[65, 72, 19, 2], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [19, 2, 7]
Generated Node #2: [19, 2, 7] from Operation: 72-65=7
Current State: 45:[19, 2, 7], Operations: ['72-65=7']
Exploring Operation: 19*2=38, Resulting Numbers: [7, 38]
Generated Node #3: [7, 38] from Operation: 19*2=38
Current State: 45:[7, 38], Operations: ['72-65=7', '19*2=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
96,
76,
57,
56
] | 21 | [
"96-76=20",
"57-56=1",
"20+1=21"
] | Current State: 21:[96, 76, 57, 56], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [57, 56, 20]
Generated Node #2: [57, 56, 20] from Operation: 96-76=20
Current State: 21:[57, 56, 20], Operations: ['96-76=20']
Exploring Operation: 57-56=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 57-56=1
Current State: 21:[20, 1], Operations: ['96-76=20', '57-56=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
15,
8,
63,
72
] | 14 | [
"15+8=23",
"72-63=9",
"23-9=14"
] | Current State: 14:[15, 8, 63, 72], Operations: []
Exploring Operation: 15+8=23, Resulting Numbers: [63, 72, 23]
Generated Node #2: [63, 72, 23] from Operation: 15+8=23
Current State: 14:[63, 72, 23], Operations: ['15+8=23']
Exploring Operation: 72-63=9, Resulting Numbers: [23, 9]
Generated Node #3: [23, 9] from Operation: 72-63=9
Current State: 14:[23, 9], Operations: ['15+8=23', '72-63=9']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
65,
1,
51,
15
] | 100 | [
"65-1=64",
"51-15=36",
"64+36=100"
] | Current State: 100:[65, 1, 51, 15], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [51, 15, 64]
Generated Node #2: [51, 15, 64] from Operation: 65-1=64
Current State: 100:[51, 15, 64], Operations: ['65-1=64']
Exploring Operation: 51-15=36, Resulting Numbers: [64, 36]
Generated Node #3: [64, 36] from Operation: 51-15=36
Current State: 100:[64, 36], Operations: ['65-1=64', '51-15=36']
Exploring Operation: 64+36=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
14,
42,
33,
77
] | 36 | [
"14*33=462",
"462/77=6",
"42-6=36"
] | Current State: 36:[14, 42, 33, 77], Operations: []
Exploring Operation: 14*33=462, Resulting Numbers: [42, 77, 462]
Generated Node #2: [42, 77, 462] from Operation: 14*33=462
Current State: 36:[42, 77, 462], Operations: ['14*33=462']
Exploring Operation: 462/77=6, Resulting Numbers: [42, 6]
Generated Node #3: [42, 6] from Operation: 462/77=6
Current State: 36:[42, 6], Operations: ['14*33=462', '462/77=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
69,
69,
65,
56
] | 56 | [
"69-69=0",
"65*0=0",
"56+0=56"
] | Current State: 56:[69, 69, 65, 56], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [65, 56, 0]
Generated Node #2: [65, 56, 0] from Operation: 69-69=0
Current State: 56:[65, 56, 0], Operations: ['69-69=0']
Exploring Operation: 65*0=0, Resulting Numbers: [56, 0]
Generated Node #3: [56, 0] from Operation: 65*0=0
Current State: 56:[56, 0], Operations: ['69-69=0', '65*0=0']
Exploring Operation: 56+0=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
25,
89,
31,
50
] | 60 | [
"50/25=2",
"89+31=120",
"120/2=60"
] | Current State: 60:[25, 89, 31, 50], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [89, 31, 2]
Generated Node #2: [89, 31, 2] from Operation: 50/25=2
Current State: 60:[89, 31, 2], Operations: ['50/25=2']
Exploring Operation: 89+31=120, Resulting Numbers: [2, 120]
Generated Node #3: [2, 120] from Operation: 89+31=120
Current State: 60:[2, 120], Operations: ['50/25=2', '89+31=120']
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
54,
14,
60,
16
] | 12 | [
"60-54=6",
"16-14=2",
"6*2=12"
] | Current State: 12:[54, 14, 60, 16], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [14, 16, 6]
Generated Node #2: [14, 16, 6] from Operation: 60-54=6
Current State: 12:[14, 16, 6], Operations: ['60-54=6']
Exploring Operation: 16-14=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 16-14=2
Current State: 12:[6, 2], Operations: ['60-54=6', '16-14=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
83,
49,
8,
56
] | 98 | [
"83-49=34",
"8+56=64",
"34+64=98"
] | Current State: 98:[83, 49, 8, 56], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [8, 56, 34]
Generated Node #2: [8, 56, 34] from Operation: 83-49=34
Current State: 98:[8, 56, 34], Operations: ['83-49=34']
Exploring Operation: 8+56=64, Resulting Numbers: [34, 64]
Generated Node #3: [34, 64] from Operation: 8+56=64
Current State: 98:[34, 64], Operations: ['83-49=34', '8+56=64']
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
6,
70,
4,
61
] | 78 | [
"70+4=74",
"74-61=13",
"6*13=78"
] | Current State: 78:[6, 70, 4, 61], Operations: []
Exploring Operation: 70+4=74, Resulting Numbers: [6, 61, 74]
Generated Node #2: [6, 61, 74] from Operation: 70+4=74
Current State: 78:[6, 61, 74], Operations: ['70+4=74']
Exploring Operation: 74-61=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 74-61=13
Current State: 78:[6, 13], Operations: ['70+4=74', '74-61=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
21,
89,
17,
48
] | 44 | [
"89-21=68",
"68/17=4",
"48-4=44"
] | Current State: 44:[21, 89, 17, 48], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [17, 48, 68]
Generated Node #2: [17, 48, 68] from Operation: 89-21=68
Current State: 44:[17, 48, 68], Operations: ['89-21=68']
Exploring Operation: 68/17=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 68/17=4
Current State: 44:[48, 4], Operations: ['89-21=68', '68/17=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
89,
42,
30,
98
] | 63 | [
"89+42=131",
"98-30=68",
"131-68=63"
] | Current State: 63:[89, 42, 30, 98], Operations: []
Exploring Operation: 89+42=131, Resulting Numbers: [30, 98, 131]
Generated Node #2: [30, 98, 131] from Operation: 89+42=131
Current State: 63:[30, 98, 131], Operations: ['89+42=131']
Exploring Operation: 98-30=68, Resulting Numbers: [131, 68]
Generated Node #3: [131, 68] from Operation: 98-30=68
Current State: 63:[131, 68], Operations: ['89+42=131', '98-30=68']
Exploring Operation: 131-68=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
2,
20,
11,
27
] | 83 | [
"20/2=10",
"11*10=110",
"110-27=83"
] | Current State: 83:[2, 20, 11, 27], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [11, 27, 10]
Generated Node #2: [11, 27, 10] from Operation: 20/2=10
Current State: 83:[11, 27, 10], Operations: ['20/2=10']
Exploring Operation: 11*10=110, Resulting Numbers: [27, 110]
Generated Node #3: [27, 110] from Operation: 11*10=110
Current State: 83:[27, 110], Operations: ['20/2=10', '11*10=110']
Exploring Operation: 110-27=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
44,
2,
92,
99
] | 49 | [
"44-2=42",
"99-92=7",
"42+7=49"
] | Current State: 49:[44, 2, 92, 99], Operations: []
Exploring Operation: 44-2=42, Resulting Numbers: [92, 99, 42]
Generated Node #2: [92, 99, 42] from Operation: 44-2=42
Current State: 49:[92, 99, 42], Operations: ['44-2=42']
Exploring Operation: 99-92=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 99-92=7
Current State: 49:[42, 7], Operations: ['44-2=42', '99-92=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
87,
18,
55,
76
] | 29 | [
"18+55=73",
"76-73=3",
"87/3=29"
] | Current State: 29:[87, 18, 55, 76], Operations: []
Exploring Operation: 18+55=73, Resulting Numbers: [87, 76, 73]
Generated Node #2: [87, 76, 73] from Operation: 18+55=73
Current State: 29:[87, 76, 73], Operations: ['18+55=73']
Exploring Operation: 76-73=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 76-73=3
Current State: 29:[87, 3], Operations: ['18+55=73', '76-73=3']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
22,
49,
88,
7
] | 60 | [
"88/22=4",
"49+7=56",
"4+56=60"
] | Current State: 60:[22, 49, 88, 7], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [49, 7, 4]
Generated Node #2: [49, 7, 4] from Operation: 88/22=4
Current State: 60:[49, 7, 4], Operations: ['88/22=4']
Exploring Operation: 49+7=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 49+7=56
Current State: 60:[4, 56], Operations: ['88/22=4', '49+7=56']
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
30,
38,
45,
84
] | 42 | [
"30+84=114",
"114/38=3",
"45-3=42"
] | Current State: 42:[30, 38, 45, 84], Operations: []
Exploring Operation: 30+84=114, Resulting Numbers: [38, 45, 114]
Generated Node #2: [38, 45, 114] from Operation: 30+84=114
Current State: 42:[38, 45, 114], Operations: ['30+84=114']
Exploring Operation: 114/38=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 114/38=3
Current State: 42:[45, 3], Operations: ['30+84=114', '114/38=3']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
2,
55,
9,
82
] | 72 | [
"55-9=46",
"82-46=36",
"2*36=72"
] | Current State: 72:[2, 55, 9, 82], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [2, 82, 46]
Generated Node #2: [2, 82, 46] from Operation: 55-9=46
Current State: 72:[2, 82, 46], Operations: ['55-9=46']
Exploring Operation: 82-46=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 82-46=36
Current State: 72:[2, 36], Operations: ['55-9=46', '82-46=36']
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
19,
80,
98,
60
] | 40 | [
"19*80=1520",
"98-60=38",
"1520/38=40"
] | Current State: 40:[19, 80, 98, 60], Operations: []
Exploring Operation: 19*80=1520, Resulting Numbers: [98, 60, 1520]
Generated Node #2: [98, 60, 1520] from Operation: 19*80=1520
Current State: 40:[98, 60, 1520], Operations: ['19*80=1520']
Exploring Operation: 98-60=38, Resulting Numbers: [1520, 38]
Generated Node #3: [1520, 38] from Operation: 98-60=38
Current State: 40:[1520, 38], Operations: ['19*80=1520', '98-60=38']
Exploring Operation: 1520/38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
92,
55,
59,
57
] | 46 | [
"92*57=5244",
"55+59=114",
"5244/114=46"
] | Current State: 46:[92, 55, 59, 57], Operations: []
Exploring Operation: 92*57=5244, Resulting Numbers: [55, 59, 5244]
Generated Node #2: [55, 59, 5244] from Operation: 92*57=5244
Current State: 46:[55, 59, 5244], Operations: ['92*57=5244']
Exploring Operation: 55+59=114, Resulting Numbers: [5244, 114]
Generated Node #3: [5244, 114] from Operation: 55+59=114
Current State: 46:[5244, 114], Operations: ['92*57=5244', '55+59=114']
Exploring Operation: 5244/114=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
80,
26,
56,
19
] | 31 | [
"80+26=106",
"56+19=75",
"106-75=31"
] | Current State: 31:[80, 26, 56, 19], Operations: []
Exploring Operation: 80+26=106, Resulting Numbers: [56, 19, 106]
Generated Node #2: [56, 19, 106] from Operation: 80+26=106
Current State: 31:[56, 19, 106], Operations: ['80+26=106']
Exploring Operation: 56+19=75, Resulting Numbers: [106, 75]
Generated Node #3: [106, 75] from Operation: 56+19=75
Current State: 31:[106, 75], Operations: ['80+26=106', '56+19=75']
Exploring Operation: 106-75=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
69,
39,
37,
99
] | 74 | [
"39+99=138",
"138/69=2",
"37*2=74"
] | Current State: 74:[69, 39, 37, 99], Operations: []
Exploring Operation: 39+99=138, Resulting Numbers: [69, 37, 138]
Generated Node #2: [69, 37, 138] from Operation: 39+99=138
Current State: 74:[69, 37, 138], Operations: ['39+99=138']
Exploring Operation: 138/69=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 138/69=2
Current State: 74:[37, 2], Operations: ['39+99=138', '138/69=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
88,
15,
54,
21
] | 97 | [
"21-15=6",
"54/6=9",
"88+9=97"
] | Current State: 97:[88, 15, 54, 21], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [88, 54, 6]
Generated Node #2: [88, 54, 6] from Operation: 21-15=6
Current State: 97:[88, 54, 6], Operations: ['21-15=6']
Exploring Operation: 54/6=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 54/6=9
Current State: 97:[88, 9], Operations: ['21-15=6', '54/6=9']
Exploring Operation: 88+9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
58,
29,
19,
94
] | 12 | [
"58+29=87",
"94-19=75",
"87-75=12"
] | Current State: 12:[58, 29, 19, 94], Operations: []
Exploring Operation: 58+29=87, Resulting Numbers: [19, 94, 87]
Generated Node #2: [19, 94, 87] from Operation: 58+29=87
Current State: 12:[19, 94, 87], Operations: ['58+29=87']
Exploring Operation: 94-19=75, Resulting Numbers: [87, 75]
Generated Node #3: [87, 75] from Operation: 94-19=75
Current State: 12:[87, 75], Operations: ['58+29=87', '94-19=75']
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
27,
67,
11,
26
] | 25 | [
"67-27=40",
"26-11=15",
"40-15=25"
] | Current State: 25:[27, 67, 11, 26], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [11, 26, 40]
Generated Node #2: [11, 26, 40] from Operation: 67-27=40
Current State: 25:[11, 26, 40], Operations: ['67-27=40']
Exploring Operation: 26-11=15, Resulting Numbers: [40, 15]
Generated Node #3: [40, 15] from Operation: 26-11=15
Current State: 25:[40, 15], Operations: ['67-27=40', '26-11=15']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
22,
77,
57,
86
] | 44 | [
"22+77=99",
"57+86=143",
"143-99=44"
] | Current State: 44:[22, 77, 57, 86], Operations: []
Exploring Operation: 22+77=99, Resulting Numbers: [57, 86, 99]
Generated Node #2: [57, 86, 99] from Operation: 22+77=99
Current State: 44:[57, 86, 99], Operations: ['22+77=99']
Exploring Operation: 57+86=143, Resulting Numbers: [99, 143]
Generated Node #3: [99, 143] from Operation: 57+86=143
Current State: 44:[99, 143], Operations: ['22+77=99', '57+86=143']
Exploring Operation: 143-99=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
67,
77,
7,
57
] | 21 | [
"67-57=10",
"77/7=11",
"10+11=21"
] | Current State: 21:[67, 77, 7, 57], Operations: []
Exploring Operation: 67-57=10, Resulting Numbers: [77, 7, 10]
Generated Node #2: [77, 7, 10] from Operation: 67-57=10
Current State: 21:[77, 7, 10], Operations: ['67-57=10']
Exploring Operation: 77/7=11, Resulting Numbers: [10, 11]
Generated Node #3: [10, 11] from Operation: 77/7=11
Current State: 21:[10, 11], Operations: ['67-57=10', '77/7=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
9,
92,
87,
78
] | 39 | [
"92-78=14",
"9*14=126",
"126-87=39"
] | Current State: 39:[9, 92, 87, 78], Operations: []
Exploring Operation: 92-78=14, Resulting Numbers: [9, 87, 14]
Generated Node #2: [9, 87, 14] from Operation: 92-78=14
Current State: 39:[9, 87, 14], Operations: ['92-78=14']
Exploring Operation: 9*14=126, Resulting Numbers: [87, 126]
Generated Node #3: [87, 126] from Operation: 9*14=126
Current State: 39:[87, 126], Operations: ['92-78=14', '9*14=126']
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
40,
30,
58,
22
] | 15 | [
"40*30=1200",
"58+22=80",
"1200/80=15"
] | Current State: 15:[40, 30, 58, 22], Operations: []
Exploring Operation: 40*30=1200, Resulting Numbers: [58, 22, 1200]
Generated Node #2: [58, 22, 1200] from Operation: 40*30=1200
Current State: 15:[58, 22, 1200], Operations: ['40*30=1200']
Exploring Operation: 58+22=80, Resulting Numbers: [1200, 80]
Generated Node #3: [1200, 80] from Operation: 58+22=80
Current State: 15:[1200, 80], Operations: ['40*30=1200', '58+22=80']
Exploring Operation: 1200/80=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
60,
33,
83,
52
] | 58 | [
"60-33=27",
"83-52=31",
"27+31=58"
] | Current State: 58:[60, 33, 83, 52], Operations: []
Exploring Operation: 60-33=27, Resulting Numbers: [83, 52, 27]
Generated Node #2: [83, 52, 27] from Operation: 60-33=27
Current State: 58:[83, 52, 27], Operations: ['60-33=27']
Exploring Operation: 83-52=31, Resulting Numbers: [27, 31]
Generated Node #3: [27, 31] from Operation: 83-52=31
Current State: 58:[27, 31], Operations: ['60-33=27', '83-52=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
89,
11,
56,
49
] | 52 | [
"89-56=33",
"33/11=3",
"49+3=52"
] | Current State: 52:[89, 11, 56, 49], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [11, 49, 33]
Generated Node #2: [11, 49, 33] from Operation: 89-56=33
Current State: 52:[11, 49, 33], Operations: ['89-56=33']
Exploring Operation: 33/11=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 33/11=3
Current State: 52:[49, 3], Operations: ['89-56=33', '33/11=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
44,
66,
93,
60
] | 53 | [
"44*60=2640",
"2640/66=40",
"93-40=53"
] | Current State: 53:[44, 66, 93, 60], Operations: []
Exploring Operation: 44*60=2640, Resulting Numbers: [66, 93, 2640]
Generated Node #2: [66, 93, 2640] from Operation: 44*60=2640
Current State: 53:[66, 93, 2640], Operations: ['44*60=2640']
Exploring Operation: 2640/66=40, Resulting Numbers: [93, 40]
Generated Node #3: [93, 40] from Operation: 2640/66=40
Current State: 53:[93, 40], Operations: ['44*60=2640', '2640/66=40']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
6,
31,
1,
14
] | 96 | [
"31-1=30",
"30-14=16",
"6*16=96"
] | Current State: 96:[6, 31, 1, 14], Operations: []
Exploring Operation: 31-1=30, Resulting Numbers: [6, 14, 30]
Generated Node #2: [6, 14, 30] from Operation: 31-1=30
Current State: 96:[6, 14, 30], Operations: ['31-1=30']
Exploring Operation: 30-14=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 30-14=16
Current State: 96:[6, 16], Operations: ['31-1=30', '30-14=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
44,
93,
48,
3
] | 93 | [
"48-44=4",
"4-3=1",
"93*1=93"
] | Current State: 93:[44, 93, 48, 3], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [93, 3, 4]
Generated Node #2: [93, 3, 4] from Operation: 48-44=4
Current State: 93:[93, 3, 4], Operations: ['48-44=4']
Exploring Operation: 4-3=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 4-3=1
Current State: 93:[93, 1], Operations: ['48-44=4', '4-3=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
34,
17,
50,
4
] | 92 | [
"34/17=2",
"50-4=46",
"2*46=92"
] | Current State: 92:[34, 17, 50, 4], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [50, 4, 2]
Generated Node #2: [50, 4, 2] from Operation: 34/17=2
Current State: 92:[50, 4, 2], Operations: ['34/17=2']
Exploring Operation: 50-4=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 50-4=46
Current State: 92:[2, 46], Operations: ['34/17=2', '50-4=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
25,
3,
56,
16
] | 68 | [
"25+3=28",
"56-16=40",
"28+40=68"
] | Current State: 68:[25, 3, 56, 16], Operations: []
Exploring Operation: 25+3=28, Resulting Numbers: [56, 16, 28]
Generated Node #2: [56, 16, 28] from Operation: 25+3=28
Current State: 68:[56, 16, 28], Operations: ['25+3=28']
Exploring Operation: 56-16=40, Resulting Numbers: [28, 40]
Generated Node #3: [28, 40] from Operation: 56-16=40
Current State: 68:[28, 40], Operations: ['25+3=28', '56-16=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
39,
5,
39,
37
] | 22 | [
"39+5=44",
"39-37=2",
"44/2=22"
] | Current State: 22:[39, 5, 39, 37], Operations: []
Exploring Operation: 39+5=44, Resulting Numbers: [37, 44]
Generated Node #2: [37, 44] from Operation: 39+5=44
Current State: 22:[37, 44], Operations: ['39+5=44']
Exploring Operation: 39-37=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 39-37=2
Current State: 22:[44, 2], Operations: ['39+5=44', '39-37=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
42,
68,
30,
98
] | 84 | [
"42*68=2856",
"30*98=2940",
"2940-2856=84"
] | Current State: 84:[42, 68, 30, 98], Operations: []
Exploring Operation: 42*68=2856, Resulting Numbers: [30, 98, 2856]
Generated Node #2: [30, 98, 2856] from Operation: 42*68=2856
Current State: 84:[30, 98, 2856], Operations: ['42*68=2856']
Exploring Operation: 30*98=2940, Resulting Numbers: [2856, 2940]
Generated Node #3: [2856, 2940] from Operation: 30*98=2940
Current State: 84:[2856, 2940], Operations: ['42*68=2856', '30*98=2940']
Exploring Operation: 2940-2856=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
1,
53,
8,
12
] | 44 | [
"53-1=52",
"8*12=96",
"96-52=44"
] | Current State: 44:[1, 53, 8, 12], Operations: []
Exploring Operation: 53-1=52, Resulting Numbers: [8, 12, 52]
Generated Node #2: [8, 12, 52] from Operation: 53-1=52
Current State: 44:[8, 12, 52], Operations: ['53-1=52']
Exploring Operation: 8*12=96, Resulting Numbers: [52, 96]
Generated Node #3: [52, 96] from Operation: 8*12=96
Current State: 44:[52, 96], Operations: ['53-1=52', '8*12=96']
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
37,
38,
18,
78
] | 60 | [
"38-37=1",
"78-18=60",
"1*60=60"
] | Current State: 60:[37, 38, 18, 78], Operations: []
Exploring Operation: 38-37=1, Resulting Numbers: [18, 78, 1]
Generated Node #2: [18, 78, 1] from Operation: 38-37=1
Current State: 60:[18, 78, 1], Operations: ['38-37=1']
Exploring Operation: 78-18=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 78-18=60
Current State: 60:[1, 60], Operations: ['38-37=1', '78-18=60']
Exploring Operation: 1*60=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
16,
48,
18,
57
] | 36 | [
"48/16=3",
"57-18=39",
"39-3=36"
] | Current State: 36:[16, 48, 18, 57], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [18, 57, 3]
Generated Node #2: [18, 57, 3] from Operation: 48/16=3
Current State: 36:[18, 57, 3], Operations: ['48/16=3']
Exploring Operation: 57-18=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 57-18=39
Current State: 36:[3, 39], Operations: ['48/16=3', '57-18=39']
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
58,
55,
26,
26
] | 55 | [
"58-55=3",
"26+26=52",
"3+52=55"
] | Current State: 55:[58, 55, 26, 26], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [26, 26, 3]
Generated Node #2: [26, 26, 3] from Operation: 58-55=3
Current State: 55:[26, 26, 3], Operations: ['58-55=3']
Exploring Operation: 26+26=52, Resulting Numbers: [3, 52]
Generated Node #3: [3, 52] from Operation: 26+26=52
Current State: 55:[3, 52], Operations: ['58-55=3', '26+26=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
22,
49,
19,
38
] | 46 | [
"49-22=27",
"38-19=19",
"27+19=46"
] | Current State: 46:[22, 49, 19, 38], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [19, 38, 27]
Generated Node #2: [19, 38, 27] from Operation: 49-22=27
Current State: 46:[19, 38, 27], Operations: ['49-22=27']
Exploring Operation: 38-19=19, Resulting Numbers: [27, 19]
Generated Node #3: [27, 19] from Operation: 38-19=19
Current State: 46:[27, 19], Operations: ['49-22=27', '38-19=19']
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
88,
58,
29,
21
] | 21 | [
"88-58=30",
"30-29=1",
"21*1=21"
] | Current State: 21:[88, 58, 29, 21], Operations: []
Exploring Operation: 88-58=30, Resulting Numbers: [29, 21, 30]
Generated Node #2: [29, 21, 30] from Operation: 88-58=30
Current State: 21:[29, 21, 30], Operations: ['88-58=30']
Exploring Operation: 30-29=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 30-29=1
Current State: 21:[21, 1], Operations: ['88-58=30', '30-29=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
32,
17,
10,
3
] | 49 | [
"32-10=22",
"3*22=66",
"66-17=49"
] | Current State: 49:[32, 17, 10, 3], Operations: []
Exploring Operation: 32-10=22, Resulting Numbers: [17, 3, 22]
Generated Node #2: [17, 3, 22] from Operation: 32-10=22
Current State: 49:[17, 3, 22], Operations: ['32-10=22']
Exploring Operation: 3*22=66, Resulting Numbers: [17, 66]
Generated Node #3: [17, 66] from Operation: 3*22=66
Current State: 49:[17, 66], Operations: ['32-10=22', '3*22=66']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
24,
3,
4,
97
] | 21 | [
"24*3=72",
"97-4=93",
"93-72=21"
] | Current State: 21:[24, 3, 4, 97], Operations: []
Exploring Operation: 24*3=72, Resulting Numbers: [4, 97, 72]
Generated Node #2: [4, 97, 72] from Operation: 24*3=72
Current State: 21:[4, 97, 72], Operations: ['24*3=72']
Exploring Operation: 97-4=93, Resulting Numbers: [72, 93]
Generated Node #3: [72, 93] from Operation: 97-4=93
Current State: 21:[72, 93], Operations: ['24*3=72', '97-4=93']
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
23,
17,
3,
87
] | 90 | [
"23-17=6",
"87-3=84",
"6+84=90"
] | Current State: 90:[23, 17, 3, 87], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [3, 87, 6]
Generated Node #2: [3, 87, 6] from Operation: 23-17=6
Current State: 90:[3, 87, 6], Operations: ['23-17=6']
Exploring Operation: 87-3=84, Resulting Numbers: [6, 84]
Generated Node #3: [6, 84] from Operation: 87-3=84
Current State: 90:[6, 84], Operations: ['23-17=6', '87-3=84']
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
28,
31,
75,
4
] | 76 | [
"31-28=3",
"75+4=79",
"79-3=76"
] | Current State: 76:[28, 31, 75, 4], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [75, 4, 3]
Generated Node #2: [75, 4, 3] from Operation: 31-28=3
Current State: 76:[75, 4, 3], Operations: ['31-28=3']
Exploring Operation: 75+4=79, Resulting Numbers: [3, 79]
Generated Node #3: [3, 79] from Operation: 75+4=79
Current State: 76:[3, 79], Operations: ['31-28=3', '75+4=79']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
12,
60,
25,
90
] | 43 | [
"12+60=72",
"25+90=115",
"115-72=43"
] | Current State: 43:[12, 60, 25, 90], Operations: []
Exploring Operation: 12+60=72, Resulting Numbers: [25, 90, 72]
Generated Node #2: [25, 90, 72] from Operation: 12+60=72
Current State: 43:[25, 90, 72], Operations: ['12+60=72']
Exploring Operation: 25+90=115, Resulting Numbers: [72, 115]
Generated Node #3: [72, 115] from Operation: 25+90=115
Current State: 43:[72, 115], Operations: ['12+60=72', '25+90=115']
Exploring Operation: 115-72=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
4,
60,
8,
46
] | 77 | [
"8*46=368",
"368-60=308",
"308/4=77"
] | Current State: 77:[4, 60, 8, 46], Operations: []
Exploring Operation: 8*46=368, Resulting Numbers: [4, 60, 368]
Generated Node #2: [4, 60, 368] from Operation: 8*46=368
Current State: 77:[4, 60, 368], Operations: ['8*46=368']
Exploring Operation: 368-60=308, Resulting Numbers: [4, 308]
Generated Node #3: [4, 308] from Operation: 368-60=308
Current State: 77:[4, 308], Operations: ['8*46=368', '368-60=308']
Exploring Operation: 308/4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
33,
4,
69,
3
] | 37 | [
"33-4=29",
"69-3=66",
"66-29=37"
] | Current State: 37:[33, 4, 69, 3], Operations: []
Exploring Operation: 33-4=29, Resulting Numbers: [69, 3, 29]
Generated Node #2: [69, 3, 29] from Operation: 33-4=29
Current State: 37:[69, 3, 29], Operations: ['33-4=29']
Exploring Operation: 69-3=66, Resulting Numbers: [29, 66]
Generated Node #3: [29, 66] from Operation: 69-3=66
Current State: 37:[29, 66], Operations: ['33-4=29', '69-3=66']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
28,
21,
64,
14
] | 66 | [
"28-21=7",
"14/7=2",
"64+2=66"
] | Current State: 66:[28, 21, 64, 14], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [64, 14, 7]
Generated Node #2: [64, 14, 7] from Operation: 28-21=7
Current State: 66:[64, 14, 7], Operations: ['28-21=7']
Exploring Operation: 14/7=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 14/7=2
Current State: 66:[64, 2], Operations: ['28-21=7', '14/7=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
3,
32,
70,
34
] | 68 | [
"3+32=35",
"70*34=2380",
"2380/35=68"
] | Current State: 68:[3, 32, 70, 34], Operations: []
Exploring Operation: 3+32=35, Resulting Numbers: [70, 34, 35]
Generated Node #2: [70, 34, 35] from Operation: 3+32=35
Current State: 68:[70, 34, 35], Operations: ['3+32=35']
Exploring Operation: 70*34=2380, Resulting Numbers: [35, 2380]
Generated Node #3: [35, 2380] from Operation: 70*34=2380
Current State: 68:[35, 2380], Operations: ['3+32=35', '70*34=2380']
Exploring Operation: 2380/35=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
56,
80,
70,
52
] | 40 | [
"56-52=4",
"80-70=10",
"4*10=40"
] | Current State: 40:[56, 80, 70, 52], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [80, 70, 4]
Generated Node #2: [80, 70, 4] from Operation: 56-52=4
Current State: 40:[80, 70, 4], Operations: ['56-52=4']
Exploring Operation: 80-70=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 80-70=10
Current State: 40:[4, 10], Operations: ['56-52=4', '80-70=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
60,
92,
88,
47
] | 17 | [
"60+92=152",
"88+47=135",
"152-135=17"
] | Current State: 17:[60, 92, 88, 47], Operations: []
Exploring Operation: 60+92=152, Resulting Numbers: [88, 47, 152]
Generated Node #2: [88, 47, 152] from Operation: 60+92=152
Current State: 17:[88, 47, 152], Operations: ['60+92=152']
Exploring Operation: 88+47=135, Resulting Numbers: [152, 135]
Generated Node #3: [152, 135] from Operation: 88+47=135
Current State: 17:[152, 135], Operations: ['60+92=152', '88+47=135']
Exploring Operation: 152-135=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
60,
10,
17,
67
] | 49 | [
"67-60=7",
"17-10=7",
"7*7=49"
] | Current State: 49:[60, 10, 17, 67], Operations: []
Exploring Operation: 67-60=7, Resulting Numbers: [10, 17, 7]
Generated Node #2: [10, 17, 7] from Operation: 67-60=7
Current State: 49:[10, 17, 7], Operations: ['67-60=7']
Exploring Operation: 17-10=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 17-10=7
Current State: 49:[7, 7], Operations: ['67-60=7', '17-10=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
56,
81,
69,
84
] | 79 | [
"84-81=3",
"69/3=23",
"56+23=79"
] | Current State: 79:[56, 81, 69, 84], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [56, 69, 3]
Generated Node #2: [56, 69, 3] from Operation: 84-81=3
Current State: 79:[56, 69, 3], Operations: ['84-81=3']
Exploring Operation: 69/3=23, Resulting Numbers: [56, 23]
Generated Node #3: [56, 23] from Operation: 69/3=23
Current State: 79:[56, 23], Operations: ['84-81=3', '69/3=23']
Exploring Operation: 56+23=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
86,
96,
56,
18
] | 64 | [
"96-86=10",
"56+18=74",
"74-10=64"
] | Current State: 64:[86, 96, 56, 18], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [56, 18, 10]
Generated Node #2: [56, 18, 10] from Operation: 96-86=10
Current State: 64:[56, 18, 10], Operations: ['96-86=10']
Exploring Operation: 56+18=74, Resulting Numbers: [10, 74]
Generated Node #3: [10, 74] from Operation: 56+18=74
Current State: 64:[10, 74], Operations: ['96-86=10', '56+18=74']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
63,
7,
2,
27
] | 66 | [
"7+2=9",
"27/9=3",
"63+3=66"
] | Current State: 66:[63, 7, 2, 27], Operations: []
Exploring Operation: 7+2=9, Resulting Numbers: [63, 27, 9]
Generated Node #2: [63, 27, 9] from Operation: 7+2=9
Current State: 66:[63, 27, 9], Operations: ['7+2=9']
Exploring Operation: 27/9=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 27/9=3
Current State: 66:[63, 3], Operations: ['7+2=9', '27/9=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
25,
51,
64,
34
] | 71 | [
"51*64=3264",
"3264/34=96",
"96-25=71"
] | Current State: 71:[25, 51, 64, 34], Operations: []
Exploring Operation: 51*64=3264, Resulting Numbers: [25, 34, 3264]
Generated Node #2: [25, 34, 3264] from Operation: 51*64=3264
Current State: 71:[25, 34, 3264], Operations: ['51*64=3264']
Exploring Operation: 3264/34=96, Resulting Numbers: [25, 96]
Generated Node #3: [25, 96] from Operation: 3264/34=96
Current State: 71:[25, 96], Operations: ['51*64=3264', '3264/34=96']
Exploring Operation: 96-25=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
56,
6,
35,
91
] | 35 | [
"56-35=21",
"6*21=126",
"126-91=35"
] | Current State: 35:[56, 6, 35, 91], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [6, 91, 21]
Generated Node #2: [6, 91, 21] from Operation: 56-35=21
Current State: 35:[6, 91, 21], Operations: ['56-35=21']
Exploring Operation: 6*21=126, Resulting Numbers: [91, 126]
Generated Node #3: [91, 126] from Operation: 6*21=126
Current State: 35:[91, 126], Operations: ['56-35=21', '6*21=126']
Exploring Operation: 126-91=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
50,
60,
29,
33
] | 70 | [
"60*33=1980",
"50+1980=2030",
"2030/29=70"
] | Current State: 70:[50, 60, 29, 33], Operations: []
Exploring Operation: 60*33=1980, Resulting Numbers: [50, 29, 1980]
Generated Node #2: [50, 29, 1980] from Operation: 60*33=1980
Current State: 70:[50, 29, 1980], Operations: ['60*33=1980']
Exploring Operation: 50+1980=2030, Resulting Numbers: [29, 2030]
Generated Node #3: [29, 2030] from Operation: 50+1980=2030
Current State: 70:[29, 2030], Operations: ['60*33=1980', '50+1980=2030']
Exploring Operation: 2030/29=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
43,
23,
12,
12
] | 43 | [
"23-12=11",
"12-11=1",
"43*1=43"
] | Current State: 43:[43, 23, 12, 12], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [43, 11]
Generated Node #2: [43, 11] from Operation: 23-12=11
Current State: 43:[43, 11], Operations: ['23-12=11']
Exploring Operation: 12-11=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 12-11=1
Current State: 43:[43, 1], Operations: ['23-12=11', '12-11=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
90,
95,
93,
40
] | 58 | [
"95-90=5",
"93-40=53",
"5+53=58"
] | Current State: 58:[90, 95, 93, 40], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [93, 40, 5]
Generated Node #2: [93, 40, 5] from Operation: 95-90=5
Current State: 58:[93, 40, 5], Operations: ['95-90=5']
Exploring Operation: 93-40=53, Resulting Numbers: [5, 53]
Generated Node #3: [5, 53] from Operation: 93-40=53
Current State: 58:[5, 53], Operations: ['95-90=5', '93-40=53']
Exploring Operation: 5+53=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
60,
8,
54,
58
] | 58 | [
"60-58=2",
"8/2=4",
"54+4=58"
] | Current State: 58:[60, 8, 54, 58], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [8, 54, 2]
Generated Node #2: [8, 54, 2] from Operation: 60-58=2
Current State: 58:[8, 54, 2], Operations: ['60-58=2']
Exploring Operation: 8/2=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 8/2=4
Current State: 58:[54, 4], Operations: ['60-58=2', '8/2=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
34,
19,
22,
96
] | 53 | [
"19*96=1824",
"1824-22=1802",
"1802/34=53"
] | Current State: 53:[34, 19, 22, 96], Operations: []
Exploring Operation: 19*96=1824, Resulting Numbers: [34, 22, 1824]
Generated Node #2: [34, 22, 1824] from Operation: 19*96=1824
Current State: 53:[34, 22, 1824], Operations: ['19*96=1824']
Exploring Operation: 1824-22=1802, Resulting Numbers: [34, 1802]
Generated Node #3: [34, 1802] from Operation: 1824-22=1802
Current State: 53:[34, 1802], Operations: ['19*96=1824', '1824-22=1802']
Exploring Operation: 1802/34=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
17,
68,
15,
53
] | 13 | [
"68-17=51",
"53-15=38",
"51-38=13"
] | Current State: 13:[17, 68, 15, 53], Operations: []
Exploring Operation: 68-17=51, Resulting Numbers: [15, 53, 51]
Generated Node #2: [15, 53, 51] from Operation: 68-17=51
Current State: 13:[15, 53, 51], Operations: ['68-17=51']
Exploring Operation: 53-15=38, Resulting Numbers: [51, 38]
Generated Node #3: [51, 38] from Operation: 53-15=38
Current State: 13:[51, 38], Operations: ['68-17=51', '53-15=38']
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
31,
82,
81
] | 15 | [
"31-15=16",
"82-81=1",
"16-1=15"
] | Current State: 15:[15, 31, 82, 81], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [82, 81, 16]
Generated Node #2: [82, 81, 16] from Operation: 31-15=16
Current State: 15:[82, 81, 16], Operations: ['31-15=16']
Exploring Operation: 82-81=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 82-81=1
Current State: 15:[16, 1], Operations: ['31-15=16', '82-81=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
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