nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
52,
32,
6,
46
] | 31 | [
"52-6=46",
"46/46=1",
"32-1=31"
] | Current State: 31:[52, 32, 6, 46], Operations: []
Exploring Operation: 52-6=46, Resulting Numbers: [32, 46, 46]
Generated Node #2: [32, 46, 46] from Operation: 52-6=46
Current State: 31:[32, 46, 46], Operations: ['52-6=46']
Exploring Operation: 46/46=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 46/46=1
Current State: 31:[32, 1], Operations: ['52-6=46', '46/46=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
83,
75,
11,
34
] | 15 | [
"83-75=8",
"34-11=23",
"23-8=15"
] | Current State: 15:[83, 75, 11, 34], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [11, 34, 8]
Generated Node #2: [11, 34, 8] from Operation: 83-75=8
Current State: 15:[11, 34, 8], Operations: ['83-75=8']
Exploring Operation: 34-11=23, Resulting Numbers: [8, 23]
Generated Node #3: [8, 23] from Operation: 34-11=23
Current State: 15:[8, 23], Operations: ['83-75=8', '34-11=23']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
54,
97,
96,
72
] | 18 | [
"72-54=18",
"97-96=1",
"18*1=18"
] | Current State: 18:[54, 97, 96, 72], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [97, 96, 18]
Generated Node #2: [97, 96, 18] from Operation: 72-54=18
Current State: 18:[97, 96, 18], Operations: ['72-54=18']
Exploring Operation: 97-96=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 97-96=1
Current State: 18:[18, 1], Operations: ['72-54=18', '97-96=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
40,
39,
83,
86
] | 82 | [
"40+39=79",
"86-83=3",
"79+3=82"
] | Current State: 82:[40, 39, 83, 86], Operations: []
Exploring Operation: 40+39=79, Resulting Numbers: [83, 86, 79]
Generated Node #2: [83, 86, 79] from Operation: 40+39=79
Current State: 82:[83, 86, 79], Operations: ['40+39=79']
Exploring Operation: 86-83=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 86-83=3
Current State: 82:[79, 3], Operations: ['40+39=79', '86-83=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
87,
95,
10,
44
] | 88 | [
"95-87=8",
"10-8=2",
"44*2=88"
] | Current State: 88:[87, 95, 10, 44], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [10, 44, 8]
Generated Node #2: [10, 44, 8] from Operation: 95-87=8
Current State: 88:[10, 44, 8], Operations: ['95-87=8']
Exploring Operation: 10-8=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 10-8=2
Current State: 88:[44, 2], Operations: ['95-87=8', '10-8=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
56,
2,
25,
35
] | 92 | [
"56+25=81",
"81-35=46",
"2*46=92"
] | Current State: 92:[56, 2, 25, 35], Operations: []
Exploring Operation: 56+25=81, Resulting Numbers: [2, 35, 81]
Generated Node #2: [2, 35, 81] from Operation: 56+25=81
Current State: 92:[2, 35, 81], Operations: ['56+25=81']
Exploring Operation: 81-35=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 81-35=46
Current State: 92:[2, 46], Operations: ['56+25=81', '81-35=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
99,
9,
68
] | 65 | [
"9-7=2",
"68/2=34",
"99-34=65"
] | Current State: 65:[7, 99, 9, 68], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [99, 68, 2]
Generated Node #2: [99, 68, 2] from Operation: 9-7=2
Current State: 65:[99, 68, 2], Operations: ['9-7=2']
Exploring Operation: 68/2=34, Resulting Numbers: [99, 34]
Generated Node #3: [99, 34] from Operation: 68/2=34
Current State: 65:[99, 34], Operations: ['9-7=2', '68/2=34']
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
21,
1,
48,
13
] | 40 | [
"21*1=21",
"48+13=61",
"61-21=40"
] | Current State: 40:[21, 1, 48, 13], Operations: []
Exploring Operation: 21*1=21, Resulting Numbers: [48, 13, 21]
Generated Node #2: [48, 13, 21] from Operation: 21*1=21
Current State: 40:[48, 13, 21], Operations: ['21*1=21']
Exploring Operation: 48+13=61, Resulting Numbers: [21, 61]
Generated Node #3: [21, 61] from Operation: 48+13=61
Current State: 40:[21, 61], Operations: ['21*1=21', '48+13=61']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
60,
76,
37,
95
] | 78 | [
"60+76=136",
"95-37=58",
"136-58=78"
] | Current State: 78:[60, 76, 37, 95], Operations: []
Exploring Operation: 60+76=136, Resulting Numbers: [37, 95, 136]
Generated Node #2: [37, 95, 136] from Operation: 60+76=136
Current State: 78:[37, 95, 136], Operations: ['60+76=136']
Exploring Operation: 95-37=58, Resulting Numbers: [136, 58]
Generated Node #3: [136, 58] from Operation: 95-37=58
Current State: 78:[136, 58], Operations: ['60+76=136', '95-37=58']
Exploring Operation: 136-58=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
52,
56,
57,
7
] | 85 | [
"56-52=4",
"7*4=28",
"57+28=85"
] | Current State: 85:[52, 56, 57, 7], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [57, 7, 4]
Generated Node #2: [57, 7, 4] from Operation: 56-52=4
Current State: 85:[57, 7, 4], Operations: ['56-52=4']
Exploring Operation: 7*4=28, Resulting Numbers: [57, 28]
Generated Node #3: [57, 28] from Operation: 7*4=28
Current State: 85:[57, 28], Operations: ['56-52=4', '7*4=28']
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
41,
13,
64,
74
] | 64 | [
"41+13=54",
"74-64=10",
"54+10=64"
] | Current State: 64:[41, 13, 64, 74], Operations: []
Exploring Operation: 41+13=54, Resulting Numbers: [64, 74, 54]
Generated Node #2: [64, 74, 54] from Operation: 41+13=54
Current State: 64:[64, 74, 54], Operations: ['41+13=54']
Exploring Operation: 74-64=10, Resulting Numbers: [54, 10]
Generated Node #3: [54, 10] from Operation: 74-64=10
Current State: 64:[54, 10], Operations: ['41+13=54', '74-64=10']
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
27,
13,
63,
37
] | 60 | [
"27+13=40",
"63+37=100",
"100-40=60"
] | Current State: 60:[27, 13, 63, 37], Operations: []
Exploring Operation: 27+13=40, Resulting Numbers: [63, 37, 40]
Generated Node #2: [63, 37, 40] from Operation: 27+13=40
Current State: 60:[63, 37, 40], Operations: ['27+13=40']
Exploring Operation: 63+37=100, Resulting Numbers: [40, 100]
Generated Node #3: [40, 100] from Operation: 63+37=100
Current State: 60:[40, 100], Operations: ['27+13=40', '63+37=100']
Exploring Operation: 100-40=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
31,
8,
3,
11
] | 86 | [
"8-3=5",
"11*5=55",
"31+55=86"
] | Current State: 86:[31, 8, 3, 11], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [31, 11, 5]
Generated Node #2: [31, 11, 5] from Operation: 8-3=5
Current State: 86:[31, 11, 5], Operations: ['8-3=5']
Exploring Operation: 11*5=55, Resulting Numbers: [31, 55]
Generated Node #3: [31, 55] from Operation: 11*5=55
Current State: 86:[31, 55], Operations: ['8-3=5', '11*5=55']
Exploring Operation: 31+55=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
49,
21,
53,
2
] | 88 | [
"49+21=70",
"70/2=35",
"53+35=88"
] | Current State: 88:[49, 21, 53, 2], Operations: []
Exploring Operation: 49+21=70, Resulting Numbers: [53, 2, 70]
Generated Node #2: [53, 2, 70] from Operation: 49+21=70
Current State: 88:[53, 2, 70], Operations: ['49+21=70']
Exploring Operation: 70/2=35, Resulting Numbers: [53, 35]
Generated Node #3: [53, 35] from Operation: 70/2=35
Current State: 88:[53, 35], Operations: ['49+21=70', '70/2=35']
Exploring Operation: 53+35=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
43,
76,
96,
92
] | 88 | [
"76+96=172",
"172/43=4",
"92-4=88"
] | Current State: 88:[43, 76, 96, 92], Operations: []
Exploring Operation: 76+96=172, Resulting Numbers: [43, 92, 172]
Generated Node #2: [43, 92, 172] from Operation: 76+96=172
Current State: 88:[43, 92, 172], Operations: ['76+96=172']
Exploring Operation: 172/43=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 172/43=4
Current State: 88:[92, 4], Operations: ['76+96=172', '172/43=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
98,
10,
48,
70
] | 35 | [
"98+70=168",
"10*168=1680",
"1680/48=35"
] | Current State: 35:[98, 10, 48, 70], Operations: []
Exploring Operation: 98+70=168, Resulting Numbers: [10, 48, 168]
Generated Node #2: [10, 48, 168] from Operation: 98+70=168
Current State: 35:[10, 48, 168], Operations: ['98+70=168']
Exploring Operation: 10*168=1680, Resulting Numbers: [48, 1680]
Generated Node #3: [48, 1680] from Operation: 10*168=1680
Current State: 35:[48, 1680], Operations: ['98+70=168', '10*168=1680']
Exploring Operation: 1680/48=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
48,
9,
30,
48
] | 14 | [
"48+30=78",
"48+78=126",
"126/9=14"
] | Current State: 14:[48, 9, 30, 48], Operations: []
Exploring Operation: 48+30=78, Resulting Numbers: [9, 78]
Generated Node #2: [9, 78] from Operation: 48+30=78
Current State: 14:[9, 78], Operations: ['48+30=78']
Exploring Operation: 48+78=126, Resulting Numbers: [9, 126]
Generated Node #3: [9, 126] from Operation: 48+78=126
Current State: 14:[9, 126], Operations: ['48+30=78', '48+78=126']
Exploring Operation: 126/9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
36,
82,
83,
71
] | 58 | [
"82-36=46",
"83-71=12",
"46+12=58"
] | Current State: 58:[36, 82, 83, 71], Operations: []
Exploring Operation: 82-36=46, Resulting Numbers: [83, 71, 46]
Generated Node #2: [83, 71, 46] from Operation: 82-36=46
Current State: 58:[83, 71, 46], Operations: ['82-36=46']
Exploring Operation: 83-71=12, Resulting Numbers: [46, 12]
Generated Node #3: [46, 12] from Operation: 83-71=12
Current State: 58:[46, 12], Operations: ['82-36=46', '83-71=12']
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
13,
5,
65,
54
] | 42 | [
"65-54=11",
"5*11=55",
"55-13=42"
] | Current State: 42:[13, 5, 65, 54], Operations: []
Exploring Operation: 65-54=11, Resulting Numbers: [13, 5, 11]
Generated Node #2: [13, 5, 11] from Operation: 65-54=11
Current State: 42:[13, 5, 11], Operations: ['65-54=11']
Exploring Operation: 5*11=55, Resulting Numbers: [13, 55]
Generated Node #3: [13, 55] from Operation: 5*11=55
Current State: 42:[13, 55], Operations: ['65-54=11', '5*11=55']
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
74,
1,
90
] | 51 | [
"74-1=73",
"90-73=17",
"3*17=51"
] | Current State: 51:[3, 74, 1, 90], Operations: []
Exploring Operation: 74-1=73, Resulting Numbers: [3, 90, 73]
Generated Node #2: [3, 90, 73] from Operation: 74-1=73
Current State: 51:[3, 90, 73], Operations: ['74-1=73']
Exploring Operation: 90-73=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 90-73=17
Current State: 51:[3, 17], Operations: ['74-1=73', '90-73=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
53,
17,
55,
5
] | 10 | [
"53+17=70",
"55+5=60",
"70-60=10"
] | Current State: 10:[53, 17, 55, 5], Operations: []
Exploring Operation: 53+17=70, Resulting Numbers: [55, 5, 70]
Generated Node #2: [55, 5, 70] from Operation: 53+17=70
Current State: 10:[55, 5, 70], Operations: ['53+17=70']
Exploring Operation: 55+5=60, Resulting Numbers: [70, 60]
Generated Node #3: [70, 60] from Operation: 55+5=60
Current State: 10:[70, 60], Operations: ['53+17=70', '55+5=60']
Exploring Operation: 70-60=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
81,
54,
28,
19
] | 61 | [
"81*28=2268",
"2268/54=42",
"19+42=61"
] | Current State: 61:[81, 54, 28, 19], Operations: []
Exploring Operation: 81*28=2268, Resulting Numbers: [54, 19, 2268]
Generated Node #2: [54, 19, 2268] from Operation: 81*28=2268
Current State: 61:[54, 19, 2268], Operations: ['81*28=2268']
Exploring Operation: 2268/54=42, Resulting Numbers: [19, 42]
Generated Node #3: [19, 42] from Operation: 2268/54=42
Current State: 61:[19, 42], Operations: ['81*28=2268', '2268/54=42']
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
45,
77,
66,
31
] | 99 | [
"45*77=3465",
"66-31=35",
"3465/35=99"
] | Current State: 99:[45, 77, 66, 31], Operations: []
Exploring Operation: 45*77=3465, Resulting Numbers: [66, 31, 3465]
Generated Node #2: [66, 31, 3465] from Operation: 45*77=3465
Current State: 99:[66, 31, 3465], Operations: ['45*77=3465']
Exploring Operation: 66-31=35, Resulting Numbers: [3465, 35]
Generated Node #3: [3465, 35] from Operation: 66-31=35
Current State: 99:[3465, 35], Operations: ['45*77=3465', '66-31=35']
Exploring Operation: 3465/35=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
50,
19,
5,
2
] | 95 | [
"50*19=950",
"5*2=10",
"950/10=95"
] | Current State: 95:[50, 19, 5, 2], Operations: []
Exploring Operation: 50*19=950, Resulting Numbers: [5, 2, 950]
Generated Node #2: [5, 2, 950] from Operation: 50*19=950
Current State: 95:[5, 2, 950], Operations: ['50*19=950']
Exploring Operation: 5*2=10, Resulting Numbers: [950, 10]
Generated Node #3: [950, 10] from Operation: 5*2=10
Current State: 95:[950, 10], Operations: ['50*19=950', '5*2=10']
Exploring Operation: 950/10=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
10,
63,
28,
92
] | 67 | [
"63-10=53",
"28+92=120",
"120-53=67"
] | Current State: 67:[10, 63, 28, 92], Operations: []
Exploring Operation: 63-10=53, Resulting Numbers: [28, 92, 53]
Generated Node #2: [28, 92, 53] from Operation: 63-10=53
Current State: 67:[28, 92, 53], Operations: ['63-10=53']
Exploring Operation: 28+92=120, Resulting Numbers: [53, 120]
Generated Node #3: [53, 120] from Operation: 28+92=120
Current State: 67:[53, 120], Operations: ['63-10=53', '28+92=120']
Exploring Operation: 120-53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
64,
36,
3,
32
] | 63 | [
"64-36=28",
"3+32=35",
"28+35=63"
] | Current State: 63:[64, 36, 3, 32], Operations: []
Exploring Operation: 64-36=28, Resulting Numbers: [3, 32, 28]
Generated Node #2: [3, 32, 28] from Operation: 64-36=28
Current State: 63:[3, 32, 28], Operations: ['64-36=28']
Exploring Operation: 3+32=35, Resulting Numbers: [28, 35]
Generated Node #3: [28, 35] from Operation: 3+32=35
Current State: 63:[28, 35], Operations: ['64-36=28', '3+32=35']
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
67,
99,
15,
3
] | 87 | [
"67*3=201",
"99+15=114",
"201-114=87"
] | Current State: 87:[67, 99, 15, 3], Operations: []
Exploring Operation: 67*3=201, Resulting Numbers: [99, 15, 201]
Generated Node #2: [99, 15, 201] from Operation: 67*3=201
Current State: 87:[99, 15, 201], Operations: ['67*3=201']
Exploring Operation: 99+15=114, Resulting Numbers: [201, 114]
Generated Node #3: [201, 114] from Operation: 99+15=114
Current State: 87:[201, 114], Operations: ['67*3=201', '99+15=114']
Exploring Operation: 201-114=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
41,
59,
56
] | 50 | [
"24+41=65",
"59+56=115",
"115-65=50"
] | Current State: 50:[24, 41, 59, 56], Operations: []
Exploring Operation: 24+41=65, Resulting Numbers: [59, 56, 65]
Generated Node #2: [59, 56, 65] from Operation: 24+41=65
Current State: 50:[59, 56, 65], Operations: ['24+41=65']
Exploring Operation: 59+56=115, Resulting Numbers: [65, 115]
Generated Node #3: [65, 115] from Operation: 59+56=115
Current State: 50:[65, 115], Operations: ['24+41=65', '59+56=115']
Exploring Operation: 115-65=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
24,
52,
25,
7
] | 60 | [
"52-24=28",
"25+7=32",
"28+32=60"
] | Current State: 60:[24, 52, 25, 7], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [25, 7, 28]
Generated Node #2: [25, 7, 28] from Operation: 52-24=28
Current State: 60:[25, 7, 28], Operations: ['52-24=28']
Exploring Operation: 25+7=32, Resulting Numbers: [28, 32]
Generated Node #3: [28, 32] from Operation: 25+7=32
Current State: 60:[28, 32], Operations: ['52-24=28', '25+7=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
86,
71,
3,
91
] | 56 | [
"91-86=5",
"3*5=15",
"71-15=56"
] | Current State: 56:[86, 71, 3, 91], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [71, 3, 5]
Generated Node #2: [71, 3, 5] from Operation: 91-86=5
Current State: 56:[71, 3, 5], Operations: ['91-86=5']
Exploring Operation: 3*5=15, Resulting Numbers: [71, 15]
Generated Node #3: [71, 15] from Operation: 3*5=15
Current State: 56:[71, 15], Operations: ['91-86=5', '3*5=15']
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
93,
6,
31,
79
] | 85 | [
"79-31=48",
"48/6=8",
"93-8=85"
] | Current State: 85:[93, 6, 31, 79], Operations: []
Exploring Operation: 79-31=48, Resulting Numbers: [93, 6, 48]
Generated Node #2: [93, 6, 48] from Operation: 79-31=48
Current State: 85:[93, 6, 48], Operations: ['79-31=48']
Exploring Operation: 48/6=8, Resulting Numbers: [93, 8]
Generated Node #3: [93, 8] from Operation: 48/6=8
Current State: 85:[93, 8], Operations: ['79-31=48', '48/6=8']
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
96,
6,
15,
84
] | 72 | [
"96+84=180",
"6*180=1080",
"1080/15=72"
] | Current State: 72:[96, 6, 15, 84], Operations: []
Exploring Operation: 96+84=180, Resulting Numbers: [6, 15, 180]
Generated Node #2: [6, 15, 180] from Operation: 96+84=180
Current State: 72:[6, 15, 180], Operations: ['96+84=180']
Exploring Operation: 6*180=1080, Resulting Numbers: [15, 1080]
Generated Node #3: [15, 1080] from Operation: 6*180=1080
Current State: 72:[15, 1080], Operations: ['96+84=180', '6*180=1080']
Exploring Operation: 1080/15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
31,
71,
60
] | 22 | [
"60-57=3",
"31*3=93",
"93-71=22"
] | Current State: 22:[57, 31, 71, 60], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [31, 71, 3]
Generated Node #2: [31, 71, 3] from Operation: 60-57=3
Current State: 22:[31, 71, 3], Operations: ['60-57=3']
Exploring Operation: 31*3=93, Resulting Numbers: [71, 93]
Generated Node #3: [71, 93] from Operation: 31*3=93
Current State: 22:[71, 93], Operations: ['60-57=3', '31*3=93']
Exploring Operation: 93-71=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
8,
84,
15,
33
] | 94 | [
"84-8=76",
"33-15=18",
"76+18=94"
] | Current State: 94:[8, 84, 15, 33], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [15, 33, 76]
Generated Node #2: [15, 33, 76] from Operation: 84-8=76
Current State: 94:[15, 33, 76], Operations: ['84-8=76']
Exploring Operation: 33-15=18, Resulting Numbers: [76, 18]
Generated Node #3: [76, 18] from Operation: 33-15=18
Current State: 94:[76, 18], Operations: ['84-8=76', '33-15=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
12,
88,
97,
17
] | 45 | [
"17-12=5",
"97-88=9",
"5*9=45"
] | Current State: 45:[12, 88, 97, 17], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [88, 97, 5]
Generated Node #2: [88, 97, 5] from Operation: 17-12=5
Current State: 45:[88, 97, 5], Operations: ['17-12=5']
Exploring Operation: 97-88=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 97-88=9
Current State: 45:[5, 9], Operations: ['17-12=5', '97-88=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
46,
74,
44,
64
] | 27 | [
"46-44=2",
"74/2=37",
"64-37=27"
] | Current State: 27:[46, 74, 44, 64], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [74, 64, 2]
Generated Node #2: [74, 64, 2] from Operation: 46-44=2
Current State: 27:[74, 64, 2], Operations: ['46-44=2']
Exploring Operation: 74/2=37, Resulting Numbers: [64, 37]
Generated Node #3: [64, 37] from Operation: 74/2=37
Current State: 27:[64, 37], Operations: ['46-44=2', '74/2=37']
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
16,
84,
69,
9
] | 81 | [
"16-9=7",
"84/7=12",
"69+12=81"
] | Current State: 81:[16, 84, 69, 9], Operations: []
Exploring Operation: 16-9=7, Resulting Numbers: [84, 69, 7]
Generated Node #2: [84, 69, 7] from Operation: 16-9=7
Current State: 81:[84, 69, 7], Operations: ['16-9=7']
Exploring Operation: 84/7=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 84/7=12
Current State: 81:[69, 12], Operations: ['16-9=7', '84/7=12']
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
38,
68,
21,
98
] | 94 | [
"38-21=17",
"68/17=4",
"98-4=94"
] | Current State: 94:[38, 68, 21, 98], Operations: []
Exploring Operation: 38-21=17, Resulting Numbers: [68, 98, 17]
Generated Node #2: [68, 98, 17] from Operation: 38-21=17
Current State: 94:[68, 98, 17], Operations: ['38-21=17']
Exploring Operation: 68/17=4, Resulting Numbers: [98, 4]
Generated Node #3: [98, 4] from Operation: 68/17=4
Current State: 94:[98, 4], Operations: ['38-21=17', '68/17=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
43,
12,
55,
20
] | 20 | [
"43+12=55",
"55+20=75",
"75-55=20"
] | Current State: 20:[43, 12, 55, 20], Operations: []
Exploring Operation: 43+12=55, Resulting Numbers: [55, 20, 55]
Generated Node #2: [55, 20, 55] from Operation: 43+12=55
Current State: 20:[55, 20, 55], Operations: ['43+12=55']
Exploring Operation: 55+20=75, Resulting Numbers: [75]
75,20 equal: Goal Reached
Exploring Operation: 75-55=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
63,
7,
81,
61
] | 37 | [
"63-61=2",
"81-7=74",
"74/2=37"
] | Current State: 37:[63, 7, 81, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [7, 81, 2]
Generated Node #2: [7, 81, 2] from Operation: 63-61=2
Current State: 37:[7, 81, 2], Operations: ['63-61=2']
Exploring Operation: 81-7=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 81-7=74
Current State: 37:[2, 74], Operations: ['63-61=2', '81-7=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
5,
97,
29,
96
] | 34 | [
"5+29=34",
"97-96=1",
"34*1=34"
] | Current State: 34:[5, 97, 29, 96], Operations: []
Exploring Operation: 5+29=34, Resulting Numbers: [97, 96, 34]
Generated Node #2: [97, 96, 34] from Operation: 5+29=34
Current State: 34:[97, 96, 34], Operations: ['5+29=34']
Exploring Operation: 97-96=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 97-96=1
Current State: 34:[34, 1], Operations: ['5+29=34', '97-96=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
22,
46,
84,
76
] | 16 | [
"46-22=24",
"84-76=8",
"24-8=16"
] | Current State: 16:[22, 46, 84, 76], Operations: []
Exploring Operation: 46-22=24, Resulting Numbers: [84, 76, 24]
Generated Node #2: [84, 76, 24] from Operation: 46-22=24
Current State: 16:[84, 76, 24], Operations: ['46-22=24']
Exploring Operation: 84-76=8, Resulting Numbers: [24, 8]
Generated Node #3: [24, 8] from Operation: 84-76=8
Current State: 16:[24, 8], Operations: ['46-22=24', '84-76=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
32,
39,
3,
38
] | 48 | [
"39-32=7",
"3+38=41",
"7+41=48"
] | Current State: 48:[32, 39, 3, 38], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [3, 38, 7]
Generated Node #2: [3, 38, 7] from Operation: 39-32=7
Current State: 48:[3, 38, 7], Operations: ['39-32=7']
Exploring Operation: 3+38=41, Resulting Numbers: [7, 41]
Generated Node #3: [7, 41] from Operation: 3+38=41
Current State: 48:[7, 41], Operations: ['39-32=7', '3+38=41']
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
89,
21,
26
] | 73 | [
"2*21=42",
"89+26=115",
"115-42=73"
] | Current State: 73:[2, 89, 21, 26], Operations: []
Exploring Operation: 2*21=42, Resulting Numbers: [89, 26, 42]
Generated Node #2: [89, 26, 42] from Operation: 2*21=42
Current State: 73:[89, 26, 42], Operations: ['2*21=42']
Exploring Operation: 89+26=115, Resulting Numbers: [42, 115]
Generated Node #3: [42, 115] from Operation: 89+26=115
Current State: 73:[42, 115], Operations: ['2*21=42', '89+26=115']
Exploring Operation: 115-42=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
4,
97,
80,
73
] | 94 | [
"4+97=101",
"80-73=7",
"101-7=94"
] | Current State: 94:[4, 97, 80, 73], Operations: []
Exploring Operation: 4+97=101, Resulting Numbers: [80, 73, 101]
Generated Node #2: [80, 73, 101] from Operation: 4+97=101
Current State: 94:[80, 73, 101], Operations: ['4+97=101']
Exploring Operation: 80-73=7, Resulting Numbers: [101, 7]
Generated Node #3: [101, 7] from Operation: 80-73=7
Current State: 94:[101, 7], Operations: ['4+97=101', '80-73=7']
Exploring Operation: 101-7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
39,
75,
45,
3
] | 79 | [
"75+45=120",
"120/3=40",
"39+40=79"
] | Current State: 79:[39, 75, 45, 3], Operations: []
Exploring Operation: 75+45=120, Resulting Numbers: [39, 3, 120]
Generated Node #2: [39, 3, 120] from Operation: 75+45=120
Current State: 79:[39, 3, 120], Operations: ['75+45=120']
Exploring Operation: 120/3=40, Resulting Numbers: [39, 40]
Generated Node #3: [39, 40] from Operation: 120/3=40
Current State: 79:[39, 40], Operations: ['75+45=120', '120/3=40']
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
21,
4,
8,
78
] | 48 | [
"21*4=84",
"84-78=6",
"8*6=48"
] | Current State: 48:[21, 4, 8, 78], Operations: []
Exploring Operation: 21*4=84, Resulting Numbers: [8, 78, 84]
Generated Node #2: [8, 78, 84] from Operation: 21*4=84
Current State: 48:[8, 78, 84], Operations: ['21*4=84']
Exploring Operation: 84-78=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 84-78=6
Current State: 48:[8, 6], Operations: ['21*4=84', '84-78=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
75,
32,
44,
42
] | 86 | [
"75-32=43",
"44-42=2",
"43*2=86"
] | Current State: 86:[75, 32, 44, 42], Operations: []
Exploring Operation: 75-32=43, Resulting Numbers: [44, 42, 43]
Generated Node #2: [44, 42, 43] from Operation: 75-32=43
Current State: 86:[44, 42, 43], Operations: ['75-32=43']
Exploring Operation: 44-42=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 44-42=2
Current State: 86:[43, 2], Operations: ['75-32=43', '44-42=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
58,
24,
33,
2
] | 28 | [
"58/2=29",
"24+33=57",
"57-29=28"
] | Current State: 28:[58, 24, 33, 2], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [24, 33, 29]
Generated Node #2: [24, 33, 29] from Operation: 58/2=29
Current State: 28:[24, 33, 29], Operations: ['58/2=29']
Exploring Operation: 24+33=57, Resulting Numbers: [29, 57]
Generated Node #3: [29, 57] from Operation: 24+33=57
Current State: 28:[29, 57], Operations: ['58/2=29', '24+33=57']
Exploring Operation: 57-29=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
55,
13,
90,
7
] | 85 | [
"55*13=715",
"90*7=630",
"715-630=85"
] | Current State: 85:[55, 13, 90, 7], Operations: []
Exploring Operation: 55*13=715, Resulting Numbers: [90, 7, 715]
Generated Node #2: [90, 7, 715] from Operation: 55*13=715
Current State: 85:[90, 7, 715], Operations: ['55*13=715']
Exploring Operation: 90*7=630, Resulting Numbers: [715, 630]
Generated Node #3: [715, 630] from Operation: 90*7=630
Current State: 85:[715, 630], Operations: ['55*13=715', '90*7=630']
Exploring Operation: 715-630=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
63,
57,
15,
55
] | 93 | [
"57-55=2",
"15*2=30",
"63+30=93"
] | Current State: 93:[63, 57, 15, 55], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [63, 15, 2]
Generated Node #2: [63, 15, 2] from Operation: 57-55=2
Current State: 93:[63, 15, 2], Operations: ['57-55=2']
Exploring Operation: 15*2=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 15*2=30
Current State: 93:[63, 30], Operations: ['57-55=2', '15*2=30']
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
6,
43,
70,
29
] | 11 | [
"43-29=14",
"70/14=5",
"6+5=11"
] | Current State: 11:[6, 43, 70, 29], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [6, 70, 14]
Generated Node #2: [6, 70, 14] from Operation: 43-29=14
Current State: 11:[6, 70, 14], Operations: ['43-29=14']
Exploring Operation: 70/14=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 70/14=5
Current State: 11:[6, 5], Operations: ['43-29=14', '70/14=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
40,
86,
3,
56
] | 54 | [
"40+3=43",
"86/43=2",
"56-2=54"
] | Current State: 54:[40, 86, 3, 56], Operations: []
Exploring Operation: 40+3=43, Resulting Numbers: [86, 56, 43]
Generated Node #2: [86, 56, 43] from Operation: 40+3=43
Current State: 54:[86, 56, 43], Operations: ['40+3=43']
Exploring Operation: 86/43=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 86/43=2
Current State: 54:[56, 2], Operations: ['40+3=43', '86/43=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
64,
9,
53,
17
] | 30 | [
"64+53=117",
"117/9=13",
"17+13=30"
] | Current State: 30:[64, 9, 53, 17], Operations: []
Exploring Operation: 64+53=117, Resulting Numbers: [9, 17, 117]
Generated Node #2: [9, 17, 117] from Operation: 64+53=117
Current State: 30:[9, 17, 117], Operations: ['64+53=117']
Exploring Operation: 117/9=13, Resulting Numbers: [17, 13]
Generated Node #3: [17, 13] from Operation: 117/9=13
Current State: 30:[17, 13], Operations: ['64+53=117', '117/9=13']
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
71,
22,
20,
84
] | 15 | [
"71-22=49",
"84-20=64",
"64-49=15"
] | Current State: 15:[71, 22, 20, 84], Operations: []
Exploring Operation: 71-22=49, Resulting Numbers: [20, 84, 49]
Generated Node #2: [20, 84, 49] from Operation: 71-22=49
Current State: 15:[20, 84, 49], Operations: ['71-22=49']
Exploring Operation: 84-20=64, Resulting Numbers: [49, 64]
Generated Node #3: [49, 64] from Operation: 84-20=64
Current State: 15:[49, 64], Operations: ['71-22=49', '84-20=64']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
78,
97,
19,
5
] | 80 | [
"78+97=175",
"19*5=95",
"175-95=80"
] | Current State: 80:[78, 97, 19, 5], Operations: []
Exploring Operation: 78+97=175, Resulting Numbers: [19, 5, 175]
Generated Node #2: [19, 5, 175] from Operation: 78+97=175
Current State: 80:[19, 5, 175], Operations: ['78+97=175']
Exploring Operation: 19*5=95, Resulting Numbers: [175, 95]
Generated Node #3: [175, 95] from Operation: 19*5=95
Current State: 80:[175, 95], Operations: ['78+97=175', '19*5=95']
Exploring Operation: 175-95=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
52,
60,
37,
41
] | 86 | [
"60-52=8",
"37+41=78",
"8+78=86"
] | Current State: 86:[52, 60, 37, 41], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [37, 41, 8]
Generated Node #2: [37, 41, 8] from Operation: 60-52=8
Current State: 86:[37, 41, 8], Operations: ['60-52=8']
Exploring Operation: 37+41=78, Resulting Numbers: [8, 78]
Generated Node #3: [8, 78] from Operation: 37+41=78
Current State: 86:[8, 78], Operations: ['60-52=8', '37+41=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
76,
34,
62,
35
] | 15 | [
"76-34=42",
"62-35=27",
"42-27=15"
] | Current State: 15:[76, 34, 62, 35], Operations: []
Exploring Operation: 76-34=42, Resulting Numbers: [62, 35, 42]
Generated Node #2: [62, 35, 42] from Operation: 76-34=42
Current State: 15:[62, 35, 42], Operations: ['76-34=42']
Exploring Operation: 62-35=27, Resulting Numbers: [42, 27]
Generated Node #3: [42, 27] from Operation: 62-35=27
Current State: 15:[42, 27], Operations: ['76-34=42', '62-35=27']
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
11,
1,
67,
59
] | 87 | [
"67-59=8",
"11*8=88",
"88-1=87"
] | Current State: 87:[11, 1, 67, 59], Operations: []
Exploring Operation: 67-59=8, Resulting Numbers: [11, 1, 8]
Generated Node #2: [11, 1, 8] from Operation: 67-59=8
Current State: 87:[11, 1, 8], Operations: ['67-59=8']
Exploring Operation: 11*8=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 11*8=88
Current State: 87:[1, 88], Operations: ['67-59=8', '11*8=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
42,
25,
10,
16
] | 32 | [
"16-10=6",
"42/6=7",
"25+7=32"
] | Current State: 32:[42, 25, 10, 16], Operations: []
Exploring Operation: 16-10=6, Resulting Numbers: [42, 25, 6]
Generated Node #2: [42, 25, 6] from Operation: 16-10=6
Current State: 32:[42, 25, 6], Operations: ['16-10=6']
Exploring Operation: 42/6=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 42/6=7
Current State: 32:[25, 7], Operations: ['16-10=6', '42/6=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
22,
70,
52,
96
] | 68 | [
"96-52=44",
"44/22=2",
"70-2=68"
] | Current State: 68:[22, 70, 52, 96], Operations: []
Exploring Operation: 96-52=44, Resulting Numbers: [22, 70, 44]
Generated Node #2: [22, 70, 44] from Operation: 96-52=44
Current State: 68:[22, 70, 44], Operations: ['96-52=44']
Exploring Operation: 44/22=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 44/22=2
Current State: 68:[70, 2], Operations: ['96-52=44', '44/22=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
68,
83,
14,
9
] | 77 | [
"68-14=54",
"54/9=6",
"83-6=77"
] | Current State: 77:[68, 83, 14, 9], Operations: []
Exploring Operation: 68-14=54, Resulting Numbers: [83, 9, 54]
Generated Node #2: [83, 9, 54] from Operation: 68-14=54
Current State: 77:[83, 9, 54], Operations: ['68-14=54']
Exploring Operation: 54/9=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 54/9=6
Current State: 77:[83, 6], Operations: ['68-14=54', '54/9=6']
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
30,
37,
30,
13
] | 37 | [
"30-30=0",
"13*0=0",
"37+0=37"
] | Current State: 37:[30, 37, 30, 13], Operations: []
Exploring Operation: 30-30=0, Resulting Numbers: [37, 13, 0]
Generated Node #2: [37, 13, 0] from Operation: 30-30=0
Current State: 37:[37, 13, 0], Operations: ['30-30=0']
Exploring Operation: 13*0=0, Resulting Numbers: [37, 0]
Generated Node #3: [37, 0] from Operation: 13*0=0
Current State: 37:[37, 0], Operations: ['30-30=0', '13*0=0']
Exploring Operation: 37+0=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
32,
4,
16,
51
] | 98 | [
"32/16=2",
"51*2=102",
"102-4=98"
] | Current State: 98:[32, 4, 16, 51], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [4, 51, 2]
Generated Node #2: [4, 51, 2] from Operation: 32/16=2
Current State: 98:[4, 51, 2], Operations: ['32/16=2']
Exploring Operation: 51*2=102, Resulting Numbers: [4, 102]
Generated Node #3: [4, 102] from Operation: 51*2=102
Current State: 98:[4, 102], Operations: ['32/16=2', '51*2=102']
Exploring Operation: 102-4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
83,
3,
80,
78
] | 77 | [
"83-3=80",
"80/80=1",
"78-1=77"
] | Current State: 77:[83, 3, 80, 78], Operations: []
Exploring Operation: 83-3=80, Resulting Numbers: [80, 78, 80]
Generated Node #2: [80, 78, 80] from Operation: 83-3=80
Current State: 77:[80, 78, 80], Operations: ['83-3=80']
Exploring Operation: 80/80=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 80/80=1
Current State: 77:[78, 1], Operations: ['83-3=80', '80/80=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
13,
22,
99,
90
] | 79 | [
"22-13=9",
"99/9=11",
"90-11=79"
] | Current State: 79:[13, 22, 99, 90], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [99, 90, 9]
Generated Node #2: [99, 90, 9] from Operation: 22-13=9
Current State: 79:[99, 90, 9], Operations: ['22-13=9']
Exploring Operation: 99/9=11, Resulting Numbers: [90, 11]
Generated Node #3: [90, 11] from Operation: 99/9=11
Current State: 79:[90, 11], Operations: ['22-13=9', '99/9=11']
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
11,
98,
90,
99
] | 78 | [
"98-11=87",
"99-90=9",
"87-9=78"
] | Current State: 78:[11, 98, 90, 99], Operations: []
Exploring Operation: 98-11=87, Resulting Numbers: [90, 99, 87]
Generated Node #2: [90, 99, 87] from Operation: 98-11=87
Current State: 78:[90, 99, 87], Operations: ['98-11=87']
Exploring Operation: 99-90=9, Resulting Numbers: [87, 9]
Generated Node #3: [87, 9] from Operation: 99-90=9
Current State: 78:[87, 9], Operations: ['98-11=87', '99-90=9']
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
88,
50,
39,
63
] | 62 | [
"88-50=38",
"63-39=24",
"38+24=62"
] | Current State: 62:[88, 50, 39, 63], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [39, 63, 38]
Generated Node #2: [39, 63, 38] from Operation: 88-50=38
Current State: 62:[39, 63, 38], Operations: ['88-50=38']
Exploring Operation: 63-39=24, Resulting Numbers: [38, 24]
Generated Node #3: [38, 24] from Operation: 63-39=24
Current State: 62:[38, 24], Operations: ['88-50=38', '63-39=24']
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
86,
24,
8,
45
] | 61 | [
"86+45=131",
"24*8=192",
"192-131=61"
] | Current State: 61:[86, 24, 8, 45], Operations: []
Exploring Operation: 86+45=131, Resulting Numbers: [24, 8, 131]
Generated Node #2: [24, 8, 131] from Operation: 86+45=131
Current State: 61:[24, 8, 131], Operations: ['86+45=131']
Exploring Operation: 24*8=192, Resulting Numbers: [131, 192]
Generated Node #3: [131, 192] from Operation: 24*8=192
Current State: 61:[131, 192], Operations: ['86+45=131', '24*8=192']
Exploring Operation: 192-131=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
59,
74,
24,
13
] | 77 | [
"59+13=72",
"72/24=3",
"74+3=77"
] | Current State: 77:[59, 74, 24, 13], Operations: []
Exploring Operation: 59+13=72, Resulting Numbers: [74, 24, 72]
Generated Node #2: [74, 24, 72] from Operation: 59+13=72
Current State: 77:[74, 24, 72], Operations: ['59+13=72']
Exploring Operation: 72/24=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 72/24=3
Current State: 77:[74, 3], Operations: ['59+13=72', '72/24=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
82,
72,
15,
15
] | 20 | [
"82-72=10",
"15+15=30",
"30-10=20"
] | Current State: 20:[82, 72, 15, 15], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [15, 15, 10]
Generated Node #2: [15, 15, 10] from Operation: 82-72=10
Current State: 20:[15, 15, 10], Operations: ['82-72=10']
Exploring Operation: 15+15=30, Resulting Numbers: [10, 30]
Generated Node #3: [10, 30] from Operation: 15+15=30
Current State: 20:[10, 30], Operations: ['82-72=10', '15+15=30']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
82,
41,
12,
80
] | 65 | [
"82-80=2",
"12*2=24",
"41+24=65"
] | Current State: 65:[82, 41, 12, 80], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [41, 12, 2]
Generated Node #2: [41, 12, 2] from Operation: 82-80=2
Current State: 65:[41, 12, 2], Operations: ['82-80=2']
Exploring Operation: 12*2=24, Resulting Numbers: [41, 24]
Generated Node #3: [41, 24] from Operation: 12*2=24
Current State: 65:[41, 24], Operations: ['82-80=2', '12*2=24']
Exploring Operation: 41+24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
14,
12,
88,
12
] | 74 | [
"14+12=26",
"88+12=100",
"100-26=74"
] | Current State: 74:[14, 12, 88, 12], Operations: []
Exploring Operation: 14+12=26, Resulting Numbers: [88, 26]
Generated Node #2: [88, 26] from Operation: 14+12=26
Current State: 74:[88, 26], Operations: ['14+12=26']
Exploring Operation: 88+12=100, Resulting Numbers: [26, 100]
Generated Node #3: [26, 100] from Operation: 88+12=100
Current State: 74:[26, 100], Operations: ['14+12=26', '88+12=100']
Exploring Operation: 100-26=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
36,
39,
68,
99
] | 28 | [
"39-36=3",
"99-68=31",
"31-3=28"
] | Current State: 28:[36, 39, 68, 99], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [68, 99, 3]
Generated Node #2: [68, 99, 3] from Operation: 39-36=3
Current State: 28:[68, 99, 3], Operations: ['39-36=3']
Exploring Operation: 99-68=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 99-68=31
Current State: 28:[3, 31], Operations: ['39-36=3', '99-68=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
37,
63,
50,
4
] | 89 | [
"63-50=13",
"4*13=52",
"37+52=89"
] | Current State: 89:[37, 63, 50, 4], Operations: []
Exploring Operation: 63-50=13, Resulting Numbers: [37, 4, 13]
Generated Node #2: [37, 4, 13] from Operation: 63-50=13
Current State: 89:[37, 4, 13], Operations: ['63-50=13']
Exploring Operation: 4*13=52, Resulting Numbers: [37, 52]
Generated Node #3: [37, 52] from Operation: 4*13=52
Current State: 89:[37, 52], Operations: ['63-50=13', '4*13=52']
Exploring Operation: 37+52=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
92,
94,
53,
66
] | 79 | [
"94-92=2",
"66*2=132",
"132-53=79"
] | Current State: 79:[92, 94, 53, 66], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [53, 66, 2]
Generated Node #2: [53, 66, 2] from Operation: 94-92=2
Current State: 79:[53, 66, 2], Operations: ['94-92=2']
Exploring Operation: 66*2=132, Resulting Numbers: [53, 132]
Generated Node #3: [53, 132] from Operation: 66*2=132
Current State: 79:[53, 132], Operations: ['94-92=2', '66*2=132']
Exploring Operation: 132-53=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
10,
39,
28,
53
] | 54 | [
"39-10=29",
"53-28=25",
"29+25=54"
] | Current State: 54:[10, 39, 28, 53], Operations: []
Exploring Operation: 39-10=29, Resulting Numbers: [28, 53, 29]
Generated Node #2: [28, 53, 29] from Operation: 39-10=29
Current State: 54:[28, 53, 29], Operations: ['39-10=29']
Exploring Operation: 53-28=25, Resulting Numbers: [29, 25]
Generated Node #3: [29, 25] from Operation: 53-28=25
Current State: 54:[29, 25], Operations: ['39-10=29', '53-28=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
95,
60,
65,
24
] | 26 | [
"95-65=30",
"60/30=2",
"24+2=26"
] | Current State: 26:[95, 60, 65, 24], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [60, 24, 30]
Generated Node #2: [60, 24, 30] from Operation: 95-65=30
Current State: 26:[60, 24, 30], Operations: ['95-65=30']
Exploring Operation: 60/30=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 60/30=2
Current State: 26:[24, 2], Operations: ['95-65=30', '60/30=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
90,
42,
25,
47
] | 85 | [
"47-42=5",
"25/5=5",
"90-5=85"
] | Current State: 85:[90, 42, 25, 47], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [90, 25, 5]
Generated Node #2: [90, 25, 5] from Operation: 47-42=5
Current State: 85:[90, 25, 5], Operations: ['47-42=5']
Exploring Operation: 25/5=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 25/5=5
Current State: 85:[90, 5], Operations: ['47-42=5', '25/5=5']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
19,
8,
43,
45
] | 25 | [
"19+8=27",
"45-43=2",
"27-2=25"
] | Current State: 25:[19, 8, 43, 45], Operations: []
Exploring Operation: 19+8=27, Resulting Numbers: [43, 45, 27]
Generated Node #2: [43, 45, 27] from Operation: 19+8=27
Current State: 25:[43, 45, 27], Operations: ['19+8=27']
Exploring Operation: 45-43=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 45-43=2
Current State: 25:[27, 2], Operations: ['19+8=27', '45-43=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
32,
39,
37,
20
] | 50 | [
"39-32=7",
"37+20=57",
"57-7=50"
] | Current State: 50:[32, 39, 37, 20], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [37, 20, 7]
Generated Node #2: [37, 20, 7] from Operation: 39-32=7
Current State: 50:[37, 20, 7], Operations: ['39-32=7']
Exploring Operation: 37+20=57, Resulting Numbers: [7, 57]
Generated Node #3: [7, 57] from Operation: 37+20=57
Current State: 50:[7, 57], Operations: ['39-32=7', '37+20=57']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
50,
52,
96,
58
] | 19 | [
"52-50=2",
"96-58=38",
"38/2=19"
] | Current State: 19:[50, 52, 96, 58], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [96, 58, 2]
Generated Node #2: [96, 58, 2] from Operation: 52-50=2
Current State: 19:[96, 58, 2], Operations: ['52-50=2']
Exploring Operation: 96-58=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 96-58=38
Current State: 19:[2, 38], Operations: ['52-50=2', '96-58=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
58,
38,
40,
44
] | 94 | [
"44-40=4",
"38*4=152",
"152-58=94"
] | Current State: 94:[58, 38, 40, 44], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [58, 38, 4]
Generated Node #2: [58, 38, 4] from Operation: 44-40=4
Current State: 94:[58, 38, 4], Operations: ['44-40=4']
Exploring Operation: 38*4=152, Resulting Numbers: [58, 152]
Generated Node #3: [58, 152] from Operation: 38*4=152
Current State: 94:[58, 152], Operations: ['44-40=4', '38*4=152']
Exploring Operation: 152-58=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
52,
42,
40
] | 68 | [
"20*52=1040",
"1040/40=26",
"42+26=68"
] | Current State: 68:[20, 52, 42, 40], Operations: []
Exploring Operation: 20*52=1040, Resulting Numbers: [42, 40, 1040]
Generated Node #2: [42, 40, 1040] from Operation: 20*52=1040
Current State: 68:[42, 40, 1040], Operations: ['20*52=1040']
Exploring Operation: 1040/40=26, Resulting Numbers: [42, 26]
Generated Node #3: [42, 26] from Operation: 1040/40=26
Current State: 68:[42, 26], Operations: ['20*52=1040', '1040/40=26']
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
9,
65,
8
] | 39 | [
"2*9=18",
"65-8=57",
"57-18=39"
] | Current State: 39:[2, 9, 65, 8], Operations: []
Exploring Operation: 2*9=18, Resulting Numbers: [65, 8, 18]
Generated Node #2: [65, 8, 18] from Operation: 2*9=18
Current State: 39:[65, 8, 18], Operations: ['2*9=18']
Exploring Operation: 65-8=57, Resulting Numbers: [18, 57]
Generated Node #3: [18, 57] from Operation: 65-8=57
Current State: 39:[18, 57], Operations: ['2*9=18', '65-8=57']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
62,
70,
21,
2
] | 26 | [
"70-62=8",
"21-8=13",
"2*13=26"
] | Current State: 26:[62, 70, 21, 2], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [21, 2, 8]
Generated Node #2: [21, 2, 8] from Operation: 70-62=8
Current State: 26:[21, 2, 8], Operations: ['70-62=8']
Exploring Operation: 21-8=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 21-8=13
Current State: 26:[2, 13], Operations: ['70-62=8', '21-8=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
47,
42,
87,
99
] | 29 | [
"47*87=4089",
"42+99=141",
"4089/141=29"
] | Current State: 29:[47, 42, 87, 99], Operations: []
Exploring Operation: 47*87=4089, Resulting Numbers: [42, 99, 4089]
Generated Node #2: [42, 99, 4089] from Operation: 47*87=4089
Current State: 29:[42, 99, 4089], Operations: ['47*87=4089']
Exploring Operation: 42+99=141, Resulting Numbers: [4089, 141]
Generated Node #3: [4089, 141] from Operation: 42+99=141
Current State: 29:[4089, 141], Operations: ['47*87=4089', '42+99=141']
Exploring Operation: 4089/141=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
99,
9,
63,
22
] | 11 | [
"99-22=77",
"63/9=7",
"77/7=11"
] | Current State: 11:[99, 9, 63, 22], Operations: []
Exploring Operation: 99-22=77, Resulting Numbers: [9, 63, 77]
Generated Node #2: [9, 63, 77] from Operation: 99-22=77
Current State: 11:[9, 63, 77], Operations: ['99-22=77']
Exploring Operation: 63/9=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 63/9=7
Current State: 11:[77, 7], Operations: ['99-22=77', '63/9=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
8,
33,
93,
72
] | 14 | [
"72/8=9",
"33+93=126",
"126/9=14"
] | Current State: 14:[8, 33, 93, 72], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [33, 93, 9]
Generated Node #2: [33, 93, 9] from Operation: 72/8=9
Current State: 14:[33, 93, 9], Operations: ['72/8=9']
Exploring Operation: 33+93=126, Resulting Numbers: [9, 126]
Generated Node #3: [9, 126] from Operation: 33+93=126
Current State: 14:[9, 126], Operations: ['72/8=9', '33+93=126']
Exploring Operation: 126/9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
84,
80,
52,
91
] | 35 | [
"84-80=4",
"91-52=39",
"39-4=35"
] | Current State: 35:[84, 80, 52, 91], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [52, 91, 4]
Generated Node #2: [52, 91, 4] from Operation: 84-80=4
Current State: 35:[52, 91, 4], Operations: ['84-80=4']
Exploring Operation: 91-52=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 91-52=39
Current State: 35:[4, 39], Operations: ['84-80=4', '91-52=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
75,
1,
22,
74
] | 21 | [
"75*1=75",
"22+74=96",
"96-75=21"
] | Current State: 21:[75, 1, 22, 74], Operations: []
Exploring Operation: 75*1=75, Resulting Numbers: [22, 74, 75]
Generated Node #2: [22, 74, 75] from Operation: 75*1=75
Current State: 21:[22, 74, 75], Operations: ['75*1=75']
Exploring Operation: 22+74=96, Resulting Numbers: [75, 96]
Generated Node #3: [75, 96] from Operation: 22+74=96
Current State: 21:[75, 96], Operations: ['75*1=75', '22+74=96']
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
72,
17,
89,
65
] | 65 | [
"72+17=89",
"89+65=154",
"154-89=65"
] | Current State: 65:[72, 17, 89, 65], Operations: []
Exploring Operation: 72+17=89, Resulting Numbers: [89, 65, 89]
Generated Node #2: [89, 65, 89] from Operation: 72+17=89
Current State: 65:[89, 65, 89], Operations: ['72+17=89']
Exploring Operation: 89+65=154, Resulting Numbers: [154]
154,65 equal: Goal Reached
Exploring Operation: 154-89=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
20,
23,
91,
12
] | 95 | [
"23-20=3",
"12/3=4",
"91+4=95"
] | Current State: 95:[20, 23, 91, 12], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [91, 12, 3]
Generated Node #2: [91, 12, 3] from Operation: 23-20=3
Current State: 95:[91, 12, 3], Operations: ['23-20=3']
Exploring Operation: 12/3=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 12/3=4
Current State: 95:[91, 4], Operations: ['23-20=3', '12/3=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
54,
21,
97
] | 85 | [
"54/6=9",
"97-21=76",
"9+76=85"
] | Current State: 85:[6, 54, 21, 97], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [21, 97, 9]
Generated Node #2: [21, 97, 9] from Operation: 54/6=9
Current State: 85:[21, 97, 9], Operations: ['54/6=9']
Exploring Operation: 97-21=76, Resulting Numbers: [9, 76]
Generated Node #3: [9, 76] from Operation: 97-21=76
Current State: 85:[9, 76], Operations: ['54/6=9', '97-21=76']
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
39,
32,
26,
86
] | 36 | [
"86-32=54",
"26*54=1404",
"1404/39=36"
] | Current State: 36:[39, 32, 26, 86], Operations: []
Exploring Operation: 86-32=54, Resulting Numbers: [39, 26, 54]
Generated Node #2: [39, 26, 54] from Operation: 86-32=54
Current State: 36:[39, 26, 54], Operations: ['86-32=54']
Exploring Operation: 26*54=1404, Resulting Numbers: [39, 1404]
Generated Node #3: [39, 1404] from Operation: 26*54=1404
Current State: 36:[39, 1404], Operations: ['86-32=54', '26*54=1404']
Exploring Operation: 1404/39=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
60,
66,
13,
18
] | 96 | [
"66-60=6",
"13*6=78",
"18+78=96"
] | Current State: 96:[60, 66, 13, 18], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [13, 18, 6]
Generated Node #2: [13, 18, 6] from Operation: 66-60=6
Current State: 96:[13, 18, 6], Operations: ['66-60=6']
Exploring Operation: 13*6=78, Resulting Numbers: [18, 78]
Generated Node #3: [18, 78] from Operation: 13*6=78
Current State: 96:[18, 78], Operations: ['66-60=6', '13*6=78']
Exploring Operation: 18+78=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
28,
42,
91,
79
] | 58 | [
"28+42=70",
"91-79=12",
"70-12=58"
] | Current State: 58:[28, 42, 91, 79], Operations: []
Exploring Operation: 28+42=70, Resulting Numbers: [91, 79, 70]
Generated Node #2: [91, 79, 70] from Operation: 28+42=70
Current State: 58:[91, 79, 70], Operations: ['28+42=70']
Exploring Operation: 91-79=12, Resulting Numbers: [70, 12]
Generated Node #3: [70, 12] from Operation: 91-79=12
Current State: 58:[70, 12], Operations: ['28+42=70', '91-79=12']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
20,
38,
8
] | 78 | [
"25-20=5",
"8*5=40",
"38+40=78"
] | Current State: 78:[25, 20, 38, 8], Operations: []
Exploring Operation: 25-20=5, Resulting Numbers: [38, 8, 5]
Generated Node #2: [38, 8, 5] from Operation: 25-20=5
Current State: 78:[38, 8, 5], Operations: ['25-20=5']
Exploring Operation: 8*5=40, Resulting Numbers: [38, 40]
Generated Node #3: [38, 40] from Operation: 8*5=40
Current State: 78:[38, 40], Operations: ['25-20=5', '8*5=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
35,
41,
15
] | 71 | [
"50-35=15",
"41+15=56",
"15+56=71"
] | Current State: 71:[50, 35, 41, 15], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [41, 15, 15]
Generated Node #2: [41, 15, 15] from Operation: 50-35=15
Current State: 71:[41, 15, 15], Operations: ['50-35=15']
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,71 equal: Goal Reached
Exploring Operation: 15+56=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
92,
56,
38,
35
] | 70 | [
"92-56=36",
"38-36=2",
"35*2=70"
] | Current State: 70:[92, 56, 38, 35], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [38, 35, 36]
Generated Node #2: [38, 35, 36] from Operation: 92-56=36
Current State: 70:[38, 35, 36], Operations: ['92-56=36']
Exploring Operation: 38-36=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 38-36=2
Current State: 70:[35, 2], Operations: ['92-56=36', '38-36=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
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