nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
84,
22,
4,
57
] | 100 | [
"84/4=21",
"22+57=79",
"21+79=100"
] | Current State: 100:[84, 22, 4, 57], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [22, 57, 21]
Generated Node #2: [22, 57, 21] from Operation: 84/4=21
Current State: 100:[22, 57, 21], Operations: ['84/4=21']
Exploring Operation: 22+57=79, Resulting Numbers: [21, 79]
Generated Node #3: [21, 79] from Operation: 22+57=79
Current State: 100:[21, 79], Operations: ['84/4=21', '22+57=79']
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
24,
58,
63,
86
] | 11 | [
"58-24=34",
"86-63=23",
"34-23=11"
] | Current State: 11:[24, 58, 63, 86], Operations: []
Exploring Operation: 58-24=34, Resulting Numbers: [63, 86, 34]
Generated Node #2: [63, 86, 34] from Operation: 58-24=34
Current State: 11:[63, 86, 34], Operations: ['58-24=34']
Exploring Operation: 86-63=23, Resulting Numbers: [34, 23]
Generated Node #3: [34, 23] from Operation: 86-63=23
Current State: 11:[34, 23], Operations: ['58-24=34', '86-63=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
4,
48,
50,
36
] | 72 | [
"4+48=52",
"52-50=2",
"36*2=72"
] | Current State: 72:[4, 48, 50, 36], Operations: []
Exploring Operation: 4+48=52, Resulting Numbers: [50, 36, 52]
Generated Node #2: [50, 36, 52] from Operation: 4+48=52
Current State: 72:[50, 36, 52], Operations: ['4+48=52']
Exploring Operation: 52-50=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 52-50=2
Current State: 72:[36, 2], Operations: ['4+48=52', '52-50=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
47,
45,
81
] | 18 | [
"57-47=10",
"81*10=810",
"810/45=18"
] | Current State: 18:[57, 47, 45, 81], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [45, 81, 10]
Generated Node #2: [45, 81, 10] from Operation: 57-47=10
Current State: 18:[45, 81, 10], Operations: ['57-47=10']
Exploring Operation: 81*10=810, Resulting Numbers: [45, 810]
Generated Node #3: [45, 810] from Operation: 81*10=810
Current State: 18:[45, 810], Operations: ['57-47=10', '81*10=810']
Exploring Operation: 810/45=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
92,
58,
31,
10
] | 13 | [
"92-58=34",
"31-10=21",
"34-21=13"
] | Current State: 13:[92, 58, 31, 10], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [31, 10, 34]
Generated Node #2: [31, 10, 34] from Operation: 92-58=34
Current State: 13:[31, 10, 34], Operations: ['92-58=34']
Exploring Operation: 31-10=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 31-10=21
Current State: 13:[34, 21], Operations: ['92-58=34', '31-10=21']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
60,
20,
76,
15
] | 100 | [
"60/15=4",
"20+76=96",
"4+96=100"
] | Current State: 100:[60, 20, 76, 15], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [20, 76, 4]
Generated Node #2: [20, 76, 4] from Operation: 60/15=4
Current State: 100:[20, 76, 4], Operations: ['60/15=4']
Exploring Operation: 20+76=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 20+76=96
Current State: 100:[4, 96], Operations: ['60/15=4', '20+76=96']
Exploring Operation: 4+96=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
54,
90,
25,
84
] | 16 | [
"90-84=6",
"54/6=9",
"25-9=16"
] | Current State: 16:[54, 90, 25, 84], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [54, 25, 6]
Generated Node #2: [54, 25, 6] from Operation: 90-84=6
Current State: 16:[54, 25, 6], Operations: ['90-84=6']
Exploring Operation: 54/6=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 54/6=9
Current State: 16:[25, 9], Operations: ['90-84=6', '54/6=9']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
40,
9,
35,
15
] | 14 | [
"40+35=75",
"75/15=5",
"9+5=14"
] | Current State: 14:[40, 9, 35, 15], Operations: []
Exploring Operation: 40+35=75, Resulting Numbers: [9, 15, 75]
Generated Node #2: [9, 15, 75] from Operation: 40+35=75
Current State: 14:[9, 15, 75], Operations: ['40+35=75']
Exploring Operation: 75/15=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 75/15=5
Current State: 14:[9, 5], Operations: ['40+35=75', '75/15=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
55,
64,
11,
21
] | 42 | [
"64-55=9",
"11-9=2",
"21*2=42"
] | Current State: 42:[55, 64, 11, 21], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [11, 21, 9]
Generated Node #2: [11, 21, 9] from Operation: 64-55=9
Current State: 42:[11, 21, 9], Operations: ['64-55=9']
Exploring Operation: 11-9=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 11-9=2
Current State: 42:[21, 2], Operations: ['64-55=9', '11-9=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
46,
40,
16
] | 94 | [
"46*40=1840",
"1840/16=115",
"115-21=94"
] | Current State: 94:[21, 46, 40, 16], Operations: []
Exploring Operation: 46*40=1840, Resulting Numbers: [21, 16, 1840]
Generated Node #2: [21, 16, 1840] from Operation: 46*40=1840
Current State: 94:[21, 16, 1840], Operations: ['46*40=1840']
Exploring Operation: 1840/16=115, Resulting Numbers: [21, 115]
Generated Node #3: [21, 115] from Operation: 1840/16=115
Current State: 94:[21, 115], Operations: ['46*40=1840', '1840/16=115']
Exploring Operation: 115-21=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
8,
65,
2,
96
] | 42 | [
"96-8=88",
"65*2=130",
"130-88=42"
] | Current State: 42:[8, 65, 2, 96], Operations: []
Exploring Operation: 96-8=88, Resulting Numbers: [65, 2, 88]
Generated Node #2: [65, 2, 88] from Operation: 96-8=88
Current State: 42:[65, 2, 88], Operations: ['96-8=88']
Exploring Operation: 65*2=130, Resulting Numbers: [88, 130]
Generated Node #3: [88, 130] from Operation: 65*2=130
Current State: 42:[88, 130], Operations: ['96-8=88', '65*2=130']
Exploring Operation: 130-88=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
13,
81,
34,
24
] | 48 | [
"81-13=68",
"68/34=2",
"24*2=48"
] | Current State: 48:[13, 81, 34, 24], Operations: []
Exploring Operation: 81-13=68, Resulting Numbers: [34, 24, 68]
Generated Node #2: [34, 24, 68] from Operation: 81-13=68
Current State: 48:[34, 24, 68], Operations: ['81-13=68']
Exploring Operation: 68/34=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 68/34=2
Current State: 48:[24, 2], Operations: ['81-13=68', '68/34=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
76,
52,
90,
19
] | 78 | [
"90-52=38",
"38/19=2",
"76+2=78"
] | Current State: 78:[76, 52, 90, 19], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [76, 19, 38]
Generated Node #2: [76, 19, 38] from Operation: 90-52=38
Current State: 78:[76, 19, 38], Operations: ['90-52=38']
Exploring Operation: 38/19=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 38/19=2
Current State: 78:[76, 2], Operations: ['90-52=38', '38/19=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
65,
18,
94,
78
] | 99 | [
"65+18=83",
"94-78=16",
"83+16=99"
] | Current State: 99:[65, 18, 94, 78], Operations: []
Exploring Operation: 65+18=83, Resulting Numbers: [94, 78, 83]
Generated Node #2: [94, 78, 83] from Operation: 65+18=83
Current State: 99:[94, 78, 83], Operations: ['65+18=83']
Exploring Operation: 94-78=16, Resulting Numbers: [83, 16]
Generated Node #3: [83, 16] from Operation: 94-78=16
Current State: 99:[83, 16], Operations: ['65+18=83', '94-78=16']
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
96,
22,
6,
24
] | 70 | [
"96-22=74",
"6*24=144",
"144-74=70"
] | Current State: 70:[96, 22, 6, 24], Operations: []
Exploring Operation: 96-22=74, Resulting Numbers: [6, 24, 74]
Generated Node #2: [6, 24, 74] from Operation: 96-22=74
Current State: 70:[6, 24, 74], Operations: ['96-22=74']
Exploring Operation: 6*24=144, Resulting Numbers: [74, 144]
Generated Node #3: [74, 144] from Operation: 6*24=144
Current State: 70:[74, 144], Operations: ['96-22=74', '6*24=144']
Exploring Operation: 144-74=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
86,
65,
42,
92
] | 17 | [
"86+65=151",
"42+92=134",
"151-134=17"
] | Current State: 17:[86, 65, 42, 92], Operations: []
Exploring Operation: 86+65=151, Resulting Numbers: [42, 92, 151]
Generated Node #2: [42, 92, 151] from Operation: 86+65=151
Current State: 17:[42, 92, 151], Operations: ['86+65=151']
Exploring Operation: 42+92=134, Resulting Numbers: [151, 134]
Generated Node #3: [151, 134] from Operation: 42+92=134
Current State: 17:[151, 134], Operations: ['86+65=151', '42+92=134']
Exploring Operation: 151-134=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
79,
98,
91,
27
] | 59 | [
"79+98=177",
"91+27=118",
"177-118=59"
] | Current State: 59:[79, 98, 91, 27], Operations: []
Exploring Operation: 79+98=177, Resulting Numbers: [91, 27, 177]
Generated Node #2: [91, 27, 177] from Operation: 79+98=177
Current State: 59:[91, 27, 177], Operations: ['79+98=177']
Exploring Operation: 91+27=118, Resulting Numbers: [177, 118]
Generated Node #3: [177, 118] from Operation: 91+27=118
Current State: 59:[177, 118], Operations: ['79+98=177', '91+27=118']
Exploring Operation: 177-118=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
2,
26,
62,
46
] | 41 | [
"62/2=31",
"26+46=72",
"72-31=41"
] | Current State: 41:[2, 26, 62, 46], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [26, 46, 31]
Generated Node #2: [26, 46, 31] from Operation: 62/2=31
Current State: 41:[26, 46, 31], Operations: ['62/2=31']
Exploring Operation: 26+46=72, Resulting Numbers: [31, 72]
Generated Node #3: [31, 72] from Operation: 26+46=72
Current State: 41:[31, 72], Operations: ['62/2=31', '26+46=72']
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
14,
9,
73,
55
] | 41 | [
"14+9=23",
"73-55=18",
"23+18=41"
] | Current State: 41:[14, 9, 73, 55], Operations: []
Exploring Operation: 14+9=23, Resulting Numbers: [73, 55, 23]
Generated Node #2: [73, 55, 23] from Operation: 14+9=23
Current State: 41:[73, 55, 23], Operations: ['14+9=23']
Exploring Operation: 73-55=18, Resulting Numbers: [23, 18]
Generated Node #3: [23, 18] from Operation: 73-55=18
Current State: 41:[23, 18], Operations: ['14+9=23', '73-55=18']
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
83,
32,
73,
72
] | 94 | [
"83-32=51",
"73+72=145",
"145-51=94"
] | Current State: 94:[83, 32, 73, 72], Operations: []
Exploring Operation: 83-32=51, Resulting Numbers: [73, 72, 51]
Generated Node #2: [73, 72, 51] from Operation: 83-32=51
Current State: 94:[73, 72, 51], Operations: ['83-32=51']
Exploring Operation: 73+72=145, Resulting Numbers: [51, 145]
Generated Node #3: [51, 145] from Operation: 73+72=145
Current State: 94:[51, 145], Operations: ['83-32=51', '73+72=145']
Exploring Operation: 145-51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
24,
3,
96,
17
] | 100 | [
"24-3=21",
"96-17=79",
"21+79=100"
] | Current State: 100:[24, 3, 96, 17], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [96, 17, 21]
Generated Node #2: [96, 17, 21] from Operation: 24-3=21
Current State: 100:[96, 17, 21], Operations: ['24-3=21']
Exploring Operation: 96-17=79, Resulting Numbers: [21, 79]
Generated Node #3: [21, 79] from Operation: 96-17=79
Current State: 100:[21, 79], Operations: ['24-3=21', '96-17=79']
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
5,
27,
20,
41
] | 72 | [
"20/5=4",
"27+41=68",
"4+68=72"
] | Current State: 72:[5, 27, 20, 41], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [27, 41, 4]
Generated Node #2: [27, 41, 4] from Operation: 20/5=4
Current State: 72:[27, 41, 4], Operations: ['20/5=4']
Exploring Operation: 27+41=68, Resulting Numbers: [4, 68]
Generated Node #3: [4, 68] from Operation: 27+41=68
Current State: 72:[4, 68], Operations: ['20/5=4', '27+41=68']
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
40,
68,
9
] | 38 | [
"68-40=28",
"28-9=19",
"2*19=38"
] | Current State: 38:[2, 40, 68, 9], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [2, 9, 28]
Generated Node #2: [2, 9, 28] from Operation: 68-40=28
Current State: 38:[2, 9, 28], Operations: ['68-40=28']
Exploring Operation: 28-9=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 28-9=19
Current State: 38:[2, 19], Operations: ['68-40=28', '28-9=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
45,
9,
72,
7
] | 51 | [
"72*7=504",
"504-45=459",
"459/9=51"
] | Current State: 51:[45, 9, 72, 7], Operations: []
Exploring Operation: 72*7=504, Resulting Numbers: [45, 9, 504]
Generated Node #2: [45, 9, 504] from Operation: 72*7=504
Current State: 51:[45, 9, 504], Operations: ['72*7=504']
Exploring Operation: 504-45=459, Resulting Numbers: [9, 459]
Generated Node #3: [9, 459] from Operation: 504-45=459
Current State: 51:[9, 459], Operations: ['72*7=504', '504-45=459']
Exploring Operation: 459/9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
21,
39,
45
] | 75 | [
"45-39=6",
"9*6=54",
"21+54=75"
] | Current State: 75:[9, 21, 39, 45], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [9, 21, 6]
Generated Node #2: [9, 21, 6] from Operation: 45-39=6
Current State: 75:[9, 21, 6], Operations: ['45-39=6']
Exploring Operation: 9*6=54, Resulting Numbers: [21, 54]
Generated Node #3: [21, 54] from Operation: 9*6=54
Current State: 75:[21, 54], Operations: ['45-39=6', '9*6=54']
Exploring Operation: 21+54=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
28,
59,
15,
53
] | 60 | [
"59+53=112",
"112/28=4",
"15*4=60"
] | Current State: 60:[28, 59, 15, 53], Operations: []
Exploring Operation: 59+53=112, Resulting Numbers: [28, 15, 112]
Generated Node #2: [28, 15, 112] from Operation: 59+53=112
Current State: 60:[28, 15, 112], Operations: ['59+53=112']
Exploring Operation: 112/28=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 112/28=4
Current State: 60:[15, 4], Operations: ['59+53=112', '112/28=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
74,
2,
40,
23
] | 59 | [
"74+2=76",
"40-23=17",
"76-17=59"
] | Current State: 59:[74, 2, 40, 23], Operations: []
Exploring Operation: 74+2=76, Resulting Numbers: [40, 23, 76]
Generated Node #2: [40, 23, 76] from Operation: 74+2=76
Current State: 59:[40, 23, 76], Operations: ['74+2=76']
Exploring Operation: 40-23=17, Resulting Numbers: [76, 17]
Generated Node #3: [76, 17] from Operation: 40-23=17
Current State: 59:[76, 17], Operations: ['74+2=76', '40-23=17']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
31,
10,
12,
3
] | 97 | [
"10+12=22",
"3*22=66",
"31+66=97"
] | Current State: 97:[31, 10, 12, 3], Operations: []
Exploring Operation: 10+12=22, Resulting Numbers: [31, 3, 22]
Generated Node #2: [31, 3, 22] from Operation: 10+12=22
Current State: 97:[31, 3, 22], Operations: ['10+12=22']
Exploring Operation: 3*22=66, Resulting Numbers: [31, 66]
Generated Node #3: [31, 66] from Operation: 3*22=66
Current State: 97:[31, 66], Operations: ['10+12=22', '3*22=66']
Exploring Operation: 31+66=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
48,
4,
86,
46
] | 22 | [
"48+86=134",
"134-46=88",
"88/4=22"
] | Current State: 22:[48, 4, 86, 46], Operations: []
Exploring Operation: 48+86=134, Resulting Numbers: [4, 46, 134]
Generated Node #2: [4, 46, 134] from Operation: 48+86=134
Current State: 22:[4, 46, 134], Operations: ['48+86=134']
Exploring Operation: 134-46=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 134-46=88
Current State: 22:[4, 88], Operations: ['48+86=134', '134-46=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
28,
13,
55,
65
] | 17 | [
"13*55=715",
"715/65=11",
"28-11=17"
] | Current State: 17:[28, 13, 55, 65], Operations: []
Exploring Operation: 13*55=715, Resulting Numbers: [28, 65, 715]
Generated Node #2: [28, 65, 715] from Operation: 13*55=715
Current State: 17:[28, 65, 715], Operations: ['13*55=715']
Exploring Operation: 715/65=11, Resulting Numbers: [28, 11]
Generated Node #3: [28, 11] from Operation: 715/65=11
Current State: 17:[28, 11], Operations: ['13*55=715', '715/65=11']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
35,
26,
82,
85
] | 58 | [
"35+26=61",
"85-82=3",
"61-3=58"
] | Current State: 58:[35, 26, 82, 85], Operations: []
Exploring Operation: 35+26=61, Resulting Numbers: [82, 85, 61]
Generated Node #2: [82, 85, 61] from Operation: 35+26=61
Current State: 58:[82, 85, 61], Operations: ['35+26=61']
Exploring Operation: 85-82=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 85-82=3
Current State: 58:[61, 3], Operations: ['35+26=61', '85-82=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
7,
68,
51,
85
] | 21 | [
"7*51=357",
"85-68=17",
"357/17=21"
] | Current State: 21:[7, 68, 51, 85], Operations: []
Exploring Operation: 7*51=357, Resulting Numbers: [68, 85, 357]
Generated Node #2: [68, 85, 357] from Operation: 7*51=357
Current State: 21:[68, 85, 357], Operations: ['7*51=357']
Exploring Operation: 85-68=17, Resulting Numbers: [357, 17]
Generated Node #3: [357, 17] from Operation: 85-68=17
Current State: 21:[357, 17], Operations: ['7*51=357', '85-68=17']
Exploring Operation: 357/17=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
52,
23,
50,
21
] | 100 | [
"52-23=29",
"50+21=71",
"29+71=100"
] | Current State: 100:[52, 23, 50, 21], Operations: []
Exploring Operation: 52-23=29, Resulting Numbers: [50, 21, 29]
Generated Node #2: [50, 21, 29] from Operation: 52-23=29
Current State: 100:[50, 21, 29], Operations: ['52-23=29']
Exploring Operation: 50+21=71, Resulting Numbers: [29, 71]
Generated Node #3: [29, 71] from Operation: 50+21=71
Current State: 100:[29, 71], Operations: ['52-23=29', '50+21=71']
Exploring Operation: 29+71=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
70,
84,
38,
98
] | 50 | [
"98-38=60",
"70*60=4200",
"4200/84=50"
] | Current State: 50:[70, 84, 38, 98], Operations: []
Exploring Operation: 98-38=60, Resulting Numbers: [70, 84, 60]
Generated Node #2: [70, 84, 60] from Operation: 98-38=60
Current State: 50:[70, 84, 60], Operations: ['98-38=60']
Exploring Operation: 70*60=4200, Resulting Numbers: [84, 4200]
Generated Node #3: [84, 4200] from Operation: 70*60=4200
Current State: 50:[84, 4200], Operations: ['98-38=60', '70*60=4200']
Exploring Operation: 4200/84=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
43,
48,
6,
61
] | 26 | [
"61-43=18",
"48/6=8",
"18+8=26"
] | Current State: 26:[43, 48, 6, 61], Operations: []
Exploring Operation: 61-43=18, Resulting Numbers: [48, 6, 18]
Generated Node #2: [48, 6, 18] from Operation: 61-43=18
Current State: 26:[48, 6, 18], Operations: ['61-43=18']
Exploring Operation: 48/6=8, Resulting Numbers: [18, 8]
Generated Node #3: [18, 8] from Operation: 48/6=8
Current State: 26:[18, 8], Operations: ['61-43=18', '48/6=8']
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
98,
85,
46,
4
] | 63 | [
"98-85=13",
"46+4=50",
"13+50=63"
] | Current State: 63:[98, 85, 46, 4], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [46, 4, 13]
Generated Node #2: [46, 4, 13] from Operation: 98-85=13
Current State: 63:[46, 4, 13], Operations: ['98-85=13']
Exploring Operation: 46+4=50, Resulting Numbers: [13, 50]
Generated Node #3: [13, 50] from Operation: 46+4=50
Current State: 63:[13, 50], Operations: ['98-85=13', '46+4=50']
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
26,
70,
64,
9
] | 60 | [
"26+64=90",
"90/9=10",
"70-10=60"
] | Current State: 60:[26, 70, 64, 9], Operations: []
Exploring Operation: 26+64=90, Resulting Numbers: [70, 9, 90]
Generated Node #2: [70, 9, 90] from Operation: 26+64=90
Current State: 60:[70, 9, 90], Operations: ['26+64=90']
Exploring Operation: 90/9=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 90/9=10
Current State: 60:[70, 10], Operations: ['26+64=90', '90/9=10']
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
98,
84,
15,
84
] | 85 | [
"98-84=14",
"15+84=99",
"99-14=85"
] | Current State: 85:[98, 84, 15, 84], Operations: []
Exploring Operation: 98-84=14, Resulting Numbers: [15, 14]
Generated Node #2: [15, 14] from Operation: 98-84=14
Current State: 85:[15, 14], Operations: ['98-84=14']
Exploring Operation: 15+84=99, Resulting Numbers: [14, 99]
Generated Node #3: [14, 99] from Operation: 15+84=99
Current State: 85:[14, 99], Operations: ['98-84=14', '15+84=99']
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
47,
70,
46,
32
] | 52 | [
"46-32=14",
"70/14=5",
"47+5=52"
] | Current State: 52:[47, 70, 46, 32], Operations: []
Exploring Operation: 46-32=14, Resulting Numbers: [47, 70, 14]
Generated Node #2: [47, 70, 14] from Operation: 46-32=14
Current State: 52:[47, 70, 14], Operations: ['46-32=14']
Exploring Operation: 70/14=5, Resulting Numbers: [47, 5]
Generated Node #3: [47, 5] from Operation: 70/14=5
Current State: 52:[47, 5], Operations: ['46-32=14', '70/14=5']
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
38,
91,
76,
90
] | 39 | [
"91-38=53",
"90-76=14",
"53-14=39"
] | Current State: 39:[38, 91, 76, 90], Operations: []
Exploring Operation: 91-38=53, Resulting Numbers: [76, 90, 53]
Generated Node #2: [76, 90, 53] from Operation: 91-38=53
Current State: 39:[76, 90, 53], Operations: ['91-38=53']
Exploring Operation: 90-76=14, Resulting Numbers: [53, 14]
Generated Node #3: [53, 14] from Operation: 90-76=14
Current State: 39:[53, 14], Operations: ['91-38=53', '90-76=14']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
92,
10,
7
] | 54 | [
"10*7=70",
"92+70=162",
"162/3=54"
] | Current State: 54:[3, 92, 10, 7], Operations: []
Exploring Operation: 10*7=70, Resulting Numbers: [3, 92, 70]
Generated Node #2: [3, 92, 70] from Operation: 10*7=70
Current State: 54:[3, 92, 70], Operations: ['10*7=70']
Exploring Operation: 92+70=162, Resulting Numbers: [3, 162]
Generated Node #3: [3, 162] from Operation: 92+70=162
Current State: 54:[3, 162], Operations: ['10*7=70', '92+70=162']
Exploring Operation: 162/3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
92,
63,
62,
17
] | 31 | [
"63-17=46",
"92/46=2",
"62/2=31"
] | Current State: 31:[92, 63, 62, 17], Operations: []
Exploring Operation: 63-17=46, Resulting Numbers: [92, 62, 46]
Generated Node #2: [92, 62, 46] from Operation: 63-17=46
Current State: 31:[92, 62, 46], Operations: ['63-17=46']
Exploring Operation: 92/46=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 92/46=2
Current State: 31:[62, 2], Operations: ['63-17=46', '92/46=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
46,
8,
48,
38
] | 48 | [
"46-8=38",
"48+38=86",
"86-38=48"
] | Current State: 48:[46, 8, 48, 38], Operations: []
Exploring Operation: 46-8=38, Resulting Numbers: [48, 38, 38]
Generated Node #2: [48, 38, 38] from Operation: 46-8=38
Current State: 48:[48, 38, 38], Operations: ['46-8=38']
Exploring Operation: 48+38=86, Resulting Numbers: [86]
86,48 equal: Goal Reached
Exploring Operation: 86-38=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
39,
68,
27,
23
] | 56 | [
"27-23=4",
"68/4=17",
"39+17=56"
] | Current State: 56:[39, 68, 27, 23], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [39, 68, 4]
Generated Node #2: [39, 68, 4] from Operation: 27-23=4
Current State: 56:[39, 68, 4], Operations: ['27-23=4']
Exploring Operation: 68/4=17, Resulting Numbers: [39, 17]
Generated Node #3: [39, 17] from Operation: 68/4=17
Current State: 56:[39, 17], Operations: ['27-23=4', '68/4=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
88,
79,
90,
84
] | 37 | [
"90-88=2",
"84/2=42",
"79-42=37"
] | Current State: 37:[88, 79, 90, 84], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [79, 84, 2]
Generated Node #2: [79, 84, 2] from Operation: 90-88=2
Current State: 37:[79, 84, 2], Operations: ['90-88=2']
Exploring Operation: 84/2=42, Resulting Numbers: [79, 42]
Generated Node #3: [79, 42] from Operation: 84/2=42
Current State: 37:[79, 42], Operations: ['90-88=2', '84/2=42']
Exploring Operation: 79-42=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
64,
78,
32,
47
] | 62 | [
"64/32=2",
"78-47=31",
"2*31=62"
] | Current State: 62:[64, 78, 32, 47], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [78, 47, 2]
Generated Node #2: [78, 47, 2] from Operation: 64/32=2
Current State: 62:[78, 47, 2], Operations: ['64/32=2']
Exploring Operation: 78-47=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 78-47=31
Current State: 62:[2, 31], Operations: ['64/32=2', '78-47=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
6,
1,
28,
69
] | 47 | [
"6*1=6",
"69-28=41",
"6+41=47"
] | Current State: 47:[6, 1, 28, 69], Operations: []
Exploring Operation: 6*1=6, Resulting Numbers: [28, 69, 6]
Generated Node #2: [28, 69, 6] from Operation: 6*1=6
Current State: 47:[28, 69, 6], Operations: ['6*1=6']
Exploring Operation: 69-28=41, Resulting Numbers: [6, 41]
Generated Node #3: [6, 41] from Operation: 69-28=41
Current State: 47:[6, 41], Operations: ['6*1=6', '69-28=41']
Exploring Operation: 6+41=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
29,
52,
25,
34
] | 73 | [
"34-29=5",
"25*5=125",
"125-52=73"
] | Current State: 73:[29, 52, 25, 34], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [52, 25, 5]
Generated Node #2: [52, 25, 5] from Operation: 34-29=5
Current State: 73:[52, 25, 5], Operations: ['34-29=5']
Exploring Operation: 25*5=125, Resulting Numbers: [52, 125]
Generated Node #3: [52, 125] from Operation: 25*5=125
Current State: 73:[52, 125], Operations: ['34-29=5', '25*5=125']
Exploring Operation: 125-52=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
85,
1,
15,
35
] | 35 | [
"85*1=85",
"15+35=50",
"85-50=35"
] | Current State: 35:[85, 1, 15, 35], Operations: []
Exploring Operation: 85*1=85, Resulting Numbers: [15, 35, 85]
Generated Node #2: [15, 35, 85] from Operation: 85*1=85
Current State: 35:[15, 35, 85], Operations: ['85*1=85']
Exploring Operation: 15+35=50, Resulting Numbers: [85, 50]
Generated Node #3: [85, 50] from Operation: 15+35=50
Current State: 35:[85, 50], Operations: ['85*1=85', '15+35=50']
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
60,
44,
72,
87
] | 48 | [
"87-72=15",
"60/15=4",
"44+4=48"
] | Current State: 48:[60, 44, 72, 87], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [60, 44, 15]
Generated Node #2: [60, 44, 15] from Operation: 87-72=15
Current State: 48:[60, 44, 15], Operations: ['87-72=15']
Exploring Operation: 60/15=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 60/15=4
Current State: 48:[44, 4], Operations: ['87-72=15', '60/15=4']
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
30,
34,
41,
36
] | 50 | [
"34-30=4",
"36/4=9",
"41+9=50"
] | Current State: 50:[30, 34, 41, 36], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [41, 36, 4]
Generated Node #2: [41, 36, 4] from Operation: 34-30=4
Current State: 50:[41, 36, 4], Operations: ['34-30=4']
Exploring Operation: 36/4=9, Resulting Numbers: [41, 9]
Generated Node #3: [41, 9] from Operation: 36/4=9
Current State: 50:[41, 9], Operations: ['34-30=4', '36/4=9']
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
2,
10,
83,
40
] | 88 | [
"10-2=8",
"40/8=5",
"83+5=88"
] | Current State: 88:[2, 10, 83, 40], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [83, 40, 8]
Generated Node #2: [83, 40, 8] from Operation: 10-2=8
Current State: 88:[83, 40, 8], Operations: ['10-2=8']
Exploring Operation: 40/8=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 40/8=5
Current State: 88:[83, 5], Operations: ['10-2=8', '40/8=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
67,
72,
7,
76
] | 41 | [
"72-67=5",
"7*5=35",
"76-35=41"
] | Current State: 41:[67, 72, 7, 76], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [7, 76, 5]
Generated Node #2: [7, 76, 5] from Operation: 72-67=5
Current State: 41:[7, 76, 5], Operations: ['72-67=5']
Exploring Operation: 7*5=35, Resulting Numbers: [76, 35]
Generated Node #3: [76, 35] from Operation: 7*5=35
Current State: 41:[76, 35], Operations: ['72-67=5', '7*5=35']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
82,
60,
20,
2
] | 21 | [
"82-60=22",
"20+22=42",
"42/2=21"
] | Current State: 21:[82, 60, 20, 2], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [20, 2, 22]
Generated Node #2: [20, 2, 22] from Operation: 82-60=22
Current State: 21:[20, 2, 22], Operations: ['82-60=22']
Exploring Operation: 20+22=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 20+22=42
Current State: 21:[2, 42], Operations: ['82-60=22', '20+22=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
40,
77,
37,
37
] | 40 | [
"37-37=0",
"77*0=0",
"40+0=40"
] | Current State: 40:[40, 77, 37, 37], Operations: []
Exploring Operation: 37-37=0, Resulting Numbers: [40, 77, 0]
Generated Node #2: [40, 77, 0] from Operation: 37-37=0
Current State: 40:[40, 77, 0], Operations: ['37-37=0']
Exploring Operation: 77*0=0, Resulting Numbers: [40, 0]
Generated Node #3: [40, 0] from Operation: 77*0=0
Current State: 40:[40, 0], Operations: ['37-37=0', '77*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
9,
13,
52,
11
] | 95 | [
"9*11=99",
"52/13=4",
"99-4=95"
] | Current State: 95:[9, 13, 52, 11], Operations: []
Exploring Operation: 9*11=99, Resulting Numbers: [13, 52, 99]
Generated Node #2: [13, 52, 99] from Operation: 9*11=99
Current State: 95:[13, 52, 99], Operations: ['9*11=99']
Exploring Operation: 52/13=4, Resulting Numbers: [99, 4]
Generated Node #3: [99, 4] from Operation: 52/13=4
Current State: 95:[99, 4], Operations: ['9*11=99', '52/13=4']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
66,
9,
11
] | 42 | [
"66-4=62",
"9+11=20",
"62-20=42"
] | Current State: 42:[4, 66, 9, 11], Operations: []
Exploring Operation: 66-4=62, Resulting Numbers: [9, 11, 62]
Generated Node #2: [9, 11, 62] from Operation: 66-4=62
Current State: 42:[9, 11, 62], Operations: ['66-4=62']
Exploring Operation: 9+11=20, Resulting Numbers: [62, 20]
Generated Node #3: [62, 20] from Operation: 9+11=20
Current State: 42:[62, 20], Operations: ['66-4=62', '9+11=20']
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
97,
52,
51,
17
] | 11 | [
"97-52=45",
"51-17=34",
"45-34=11"
] | Current State: 11:[97, 52, 51, 17], Operations: []
Exploring Operation: 97-52=45, Resulting Numbers: [51, 17, 45]
Generated Node #2: [51, 17, 45] from Operation: 97-52=45
Current State: 11:[51, 17, 45], Operations: ['97-52=45']
Exploring Operation: 51-17=34, Resulting Numbers: [45, 34]
Generated Node #3: [45, 34] from Operation: 51-17=34
Current State: 11:[45, 34], Operations: ['97-52=45', '51-17=34']
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
58,
60,
20
] | 49 | [
"58+60=118",
"118-20=98",
"98/2=49"
] | Current State: 49:[2, 58, 60, 20], Operations: []
Exploring Operation: 58+60=118, Resulting Numbers: [2, 20, 118]
Generated Node #2: [2, 20, 118] from Operation: 58+60=118
Current State: 49:[2, 20, 118], Operations: ['58+60=118']
Exploring Operation: 118-20=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 118-20=98
Current State: 49:[2, 98], Operations: ['58+60=118', '118-20=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
81,
90,
4,
92
] | 89 | [
"92-90=2",
"4*2=8",
"81+8=89"
] | Current State: 89:[81, 90, 4, 92], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [81, 4, 2]
Generated Node #2: [81, 4, 2] from Operation: 92-90=2
Current State: 89:[81, 4, 2], Operations: ['92-90=2']
Exploring Operation: 4*2=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 4*2=8
Current State: 89:[81, 8], Operations: ['92-90=2', '4*2=8']
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
32,
77,
52,
69
] | 13 | [
"77-69=8",
"32/8=4",
"52/4=13"
] | Current State: 13:[32, 77, 52, 69], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [32, 52, 8]
Generated Node #2: [32, 52, 8] from Operation: 77-69=8
Current State: 13:[32, 52, 8], Operations: ['77-69=8']
Exploring Operation: 32/8=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 32/8=4
Current State: 13:[52, 4], Operations: ['77-69=8', '32/8=4']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
38,
8,
4,
5
] | 46 | [
"38+8=46",
"5-4=1",
"46*1=46"
] | Current State: 46:[38, 8, 4, 5], Operations: []
Exploring Operation: 38+8=46, Resulting Numbers: [4, 5, 46]
Generated Node #2: [4, 5, 46] from Operation: 38+8=46
Current State: 46:[4, 5, 46], Operations: ['38+8=46']
Exploring Operation: 5-4=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 5-4=1
Current State: 46:[46, 1], Operations: ['38+8=46', '5-4=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
38,
75,
16,
19
] | 67 | [
"38/19=2",
"16/2=8",
"75-8=67"
] | Current State: 67:[38, 75, 16, 19], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [75, 16, 2]
Generated Node #2: [75, 16, 2] from Operation: 38/19=2
Current State: 67:[75, 16, 2], Operations: ['38/19=2']
Exploring Operation: 16/2=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 16/2=8
Current State: 67:[75, 8], Operations: ['38/19=2', '16/2=8']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
73,
2,
75,
67
] | 67 | [
"73+2=75",
"75+67=142",
"142-75=67"
] | Current State: 67:[73, 2, 75, 67], Operations: []
Exploring Operation: 73+2=75, Resulting Numbers: [75, 67, 75]
Generated Node #2: [75, 67, 75] from Operation: 73+2=75
Current State: 67:[75, 67, 75], Operations: ['73+2=75']
Exploring Operation: 75+67=142, Resulting Numbers: [142]
142,67 equal: Goal Reached
Exploring Operation: 142-75=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
21,
87,
21,
70
] | 16 | [
"21/21=1",
"87-70=17",
"17-1=16"
] | Current State: 16:[21, 87, 21, 70], Operations: []
Exploring Operation: 21/21=1, Resulting Numbers: [87, 70, 1]
Generated Node #2: [87, 70, 1] from Operation: 21/21=1
Current State: 16:[87, 70, 1], Operations: ['21/21=1']
Exploring Operation: 87-70=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 87-70=17
Current State: 16:[1, 17], Operations: ['21/21=1', '87-70=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
12,
56,
30,
12
] | 16 | [
"12*56=672",
"30+12=42",
"672/42=16"
] | Current State: 16:[12, 56, 30, 12], Operations: []
Exploring Operation: 12*56=672, Resulting Numbers: [30, 672]
Generated Node #2: [30, 672] from Operation: 12*56=672
Current State: 16:[30, 672], Operations: ['12*56=672']
Exploring Operation: 30+12=42, Resulting Numbers: [672, 42]
Generated Node #3: [672, 42] from Operation: 30+12=42
Current State: 16:[672, 42], Operations: ['12*56=672', '30+12=42']
Exploring Operation: 672/42=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
90,
14,
50,
62
] | 52 | [
"90+50=140",
"140/14=10",
"62-10=52"
] | Current State: 52:[90, 14, 50, 62], Operations: []
Exploring Operation: 90+50=140, Resulting Numbers: [14, 62, 140]
Generated Node #2: [14, 62, 140] from Operation: 90+50=140
Current State: 52:[14, 62, 140], Operations: ['90+50=140']
Exploring Operation: 140/14=10, Resulting Numbers: [62, 10]
Generated Node #3: [62, 10] from Operation: 140/14=10
Current State: 52:[62, 10], Operations: ['90+50=140', '140/14=10']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
81,
13,
63,
4
] | 27 | [
"81+13=94",
"63+4=67",
"94-67=27"
] | Current State: 27:[81, 13, 63, 4], Operations: []
Exploring Operation: 81+13=94, Resulting Numbers: [63, 4, 94]
Generated Node #2: [63, 4, 94] from Operation: 81+13=94
Current State: 27:[63, 4, 94], Operations: ['81+13=94']
Exploring Operation: 63+4=67, Resulting Numbers: [94, 67]
Generated Node #3: [94, 67] from Operation: 63+4=67
Current State: 27:[94, 67], Operations: ['81+13=94', '63+4=67']
Exploring Operation: 94-67=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
56,
23,
27,
3
] | 57 | [
"56-23=33",
"27-3=24",
"33+24=57"
] | Current State: 57:[56, 23, 27, 3], Operations: []
Exploring Operation: 56-23=33, Resulting Numbers: [27, 3, 33]
Generated Node #2: [27, 3, 33] from Operation: 56-23=33
Current State: 57:[27, 3, 33], Operations: ['56-23=33']
Exploring Operation: 27-3=24, Resulting Numbers: [33, 24]
Generated Node #3: [33, 24] from Operation: 27-3=24
Current State: 57:[33, 24], Operations: ['56-23=33', '27-3=24']
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
54,
66,
26,
25
] | 69 | [
"54+66=120",
"26+25=51",
"120-51=69"
] | Current State: 69:[54, 66, 26, 25], Operations: []
Exploring Operation: 54+66=120, Resulting Numbers: [26, 25, 120]
Generated Node #2: [26, 25, 120] from Operation: 54+66=120
Current State: 69:[26, 25, 120], Operations: ['54+66=120']
Exploring Operation: 26+25=51, Resulting Numbers: [120, 51]
Generated Node #3: [120, 51] from Operation: 26+25=51
Current State: 69:[120, 51], Operations: ['54+66=120', '26+25=51']
Exploring Operation: 120-51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
45,
44,
59,
78
] | 19 | [
"45-44=1",
"78-59=19",
"1*19=19"
] | Current State: 19:[45, 44, 59, 78], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [59, 78, 1]
Generated Node #2: [59, 78, 1] from Operation: 45-44=1
Current State: 19:[59, 78, 1], Operations: ['45-44=1']
Exploring Operation: 78-59=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 78-59=19
Current State: 19:[1, 19], Operations: ['45-44=1', '78-59=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
72,
24,
92,
18
] | 17 | [
"72/18=4",
"92-24=68",
"68/4=17"
] | Current State: 17:[72, 24, 92, 18], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [24, 92, 4]
Generated Node #2: [24, 92, 4] from Operation: 72/18=4
Current State: 17:[24, 92, 4], Operations: ['72/18=4']
Exploring Operation: 92-24=68, Resulting Numbers: [4, 68]
Generated Node #3: [4, 68] from Operation: 92-24=68
Current State: 17:[4, 68], Operations: ['72/18=4', '92-24=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
7,
8,
4,
57
] | 32 | [
"7+57=64",
"8*4=32",
"64-32=32"
] | Current State: 32:[7, 8, 4, 57], Operations: []
Exploring Operation: 7+57=64, Resulting Numbers: [8, 4, 64]
Generated Node #2: [8, 4, 64] from Operation: 7+57=64
Current State: 32:[8, 4, 64], Operations: ['7+57=64']
Exploring Operation: 8*4=32, Resulting Numbers: [64, 32]
Generated Node #3: [64, 32] from Operation: 8*4=32
Current State: 32:[64, 32], Operations: ['7+57=64', '8*4=32']
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
54,
56,
10,
6
] | 57 | [
"54/6=9",
"56+10=66",
"66-9=57"
] | Current State: 57:[54, 56, 10, 6], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [56, 10, 9]
Generated Node #2: [56, 10, 9] from Operation: 54/6=9
Current State: 57:[56, 10, 9], Operations: ['54/6=9']
Exploring Operation: 56+10=66, Resulting Numbers: [9, 66]
Generated Node #3: [9, 66] from Operation: 56+10=66
Current State: 57:[9, 66], Operations: ['54/6=9', '56+10=66']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
77,
38,
35,
32
] | 13 | [
"77-38=39",
"35-32=3",
"39/3=13"
] | Current State: 13:[77, 38, 35, 32], Operations: []
Exploring Operation: 77-38=39, Resulting Numbers: [35, 32, 39]
Generated Node #2: [35, 32, 39] from Operation: 77-38=39
Current State: 13:[35, 32, 39], Operations: ['77-38=39']
Exploring Operation: 35-32=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 35-32=3
Current State: 13:[39, 3], Operations: ['77-38=39', '35-32=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
62,
97,
67,
6
] | 26 | [
"97-62=35",
"67-6=61",
"61-35=26"
] | Current State: 26:[62, 97, 67, 6], Operations: []
Exploring Operation: 97-62=35, Resulting Numbers: [67, 6, 35]
Generated Node #2: [67, 6, 35] from Operation: 97-62=35
Current State: 26:[67, 6, 35], Operations: ['97-62=35']
Exploring Operation: 67-6=61, Resulting Numbers: [35, 61]
Generated Node #3: [35, 61] from Operation: 67-6=61
Current State: 26:[35, 61], Operations: ['97-62=35', '67-6=61']
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
67,
6,
56,
14
] | 95 | [
"67-56=11",
"6*14=84",
"11+84=95"
] | Current State: 95:[67, 6, 56, 14], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [6, 14, 11]
Generated Node #2: [6, 14, 11] from Operation: 67-56=11
Current State: 95:[6, 14, 11], Operations: ['67-56=11']
Exploring Operation: 6*14=84, Resulting Numbers: [11, 84]
Generated Node #3: [11, 84] from Operation: 6*14=84
Current State: 95:[11, 84], Operations: ['67-56=11', '6*14=84']
Exploring Operation: 11+84=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
43,
77,
2,
39
] | 71 | [
"77-43=34",
"39-2=37",
"34+37=71"
] | Current State: 71:[43, 77, 2, 39], Operations: []
Exploring Operation: 77-43=34, Resulting Numbers: [2, 39, 34]
Generated Node #2: [2, 39, 34] from Operation: 77-43=34
Current State: 71:[2, 39, 34], Operations: ['77-43=34']
Exploring Operation: 39-2=37, Resulting Numbers: [34, 37]
Generated Node #3: [34, 37] from Operation: 39-2=37
Current State: 71:[34, 37], Operations: ['77-43=34', '39-2=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
29,
86,
72,
82
] | 97 | [
"86-29=57",
"72+82=154",
"154-57=97"
] | Current State: 97:[29, 86, 72, 82], Operations: []
Exploring Operation: 86-29=57, Resulting Numbers: [72, 82, 57]
Generated Node #2: [72, 82, 57] from Operation: 86-29=57
Current State: 97:[72, 82, 57], Operations: ['86-29=57']
Exploring Operation: 72+82=154, Resulting Numbers: [57, 154]
Generated Node #3: [57, 154] from Operation: 72+82=154
Current State: 97:[57, 154], Operations: ['86-29=57', '72+82=154']
Exploring Operation: 154-57=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
76,
42,
49
] | 88 | [
"19+76=95",
"49-42=7",
"95-7=88"
] | Current State: 88:[19, 76, 42, 49], Operations: []
Exploring Operation: 19+76=95, Resulting Numbers: [42, 49, 95]
Generated Node #2: [42, 49, 95] from Operation: 19+76=95
Current State: 88:[42, 49, 95], Operations: ['19+76=95']
Exploring Operation: 49-42=7, Resulting Numbers: [95, 7]
Generated Node #3: [95, 7] from Operation: 49-42=7
Current State: 88:[95, 7], Operations: ['19+76=95', '49-42=7']
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
14,
66,
40,
68
] | 80 | [
"66-14=52",
"68-40=28",
"52+28=80"
] | Current State: 80:[14, 66, 40, 68], Operations: []
Exploring Operation: 66-14=52, Resulting Numbers: [40, 68, 52]
Generated Node #2: [40, 68, 52] from Operation: 66-14=52
Current State: 80:[40, 68, 52], Operations: ['66-14=52']
Exploring Operation: 68-40=28, Resulting Numbers: [52, 28]
Generated Node #3: [52, 28] from Operation: 68-40=28
Current State: 80:[52, 28], Operations: ['66-14=52', '68-40=28']
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
62,
10,
80,
58
] | 92 | [
"62+58=120",
"120/10=12",
"80+12=92"
] | Current State: 92:[62, 10, 80, 58], Operations: []
Exploring Operation: 62+58=120, Resulting Numbers: [10, 80, 120]
Generated Node #2: [10, 80, 120] from Operation: 62+58=120
Current State: 92:[10, 80, 120], Operations: ['62+58=120']
Exploring Operation: 120/10=12, Resulting Numbers: [80, 12]
Generated Node #3: [80, 12] from Operation: 120/10=12
Current State: 92:[80, 12], Operations: ['62+58=120', '120/10=12']
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
35,
4,
39,
72
] | 88 | [
"39-35=4",
"4*4=16",
"72+16=88"
] | Current State: 88:[35, 4, 39, 72], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [4, 72, 4]
Generated Node #2: [4, 72, 4] from Operation: 39-35=4
Current State: 88:[4, 72, 4], Operations: ['39-35=4']
Exploring Operation: 4*4=16, Resulting Numbers: [72, 16]
Generated Node #3: [72, 16] from Operation: 4*4=16
Current State: 88:[72, 16], Operations: ['39-35=4', '4*4=16']
Exploring Operation: 72+16=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
4,
1,
66,
79
] | 56 | [
"66-1=65",
"79-65=14",
"4*14=56"
] | Current State: 56:[4, 1, 66, 79], Operations: []
Exploring Operation: 66-1=65, Resulting Numbers: [4, 79, 65]
Generated Node #2: [4, 79, 65] from Operation: 66-1=65
Current State: 56:[4, 79, 65], Operations: ['66-1=65']
Exploring Operation: 79-65=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 79-65=14
Current State: 56:[4, 14], Operations: ['66-1=65', '79-65=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
46,
81,
25,
72
] | 30 | [
"46+81=127",
"25+72=97",
"127-97=30"
] | Current State: 30:[46, 81, 25, 72], Operations: []
Exploring Operation: 46+81=127, Resulting Numbers: [25, 72, 127]
Generated Node #2: [25, 72, 127] from Operation: 46+81=127
Current State: 30:[25, 72, 127], Operations: ['46+81=127']
Exploring Operation: 25+72=97, Resulting Numbers: [127, 97]
Generated Node #3: [127, 97] from Operation: 25+72=97
Current State: 30:[127, 97], Operations: ['46+81=127', '25+72=97']
Exploring Operation: 127-97=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
74,
5,
80,
24
] | 34 | [
"74+80=154",
"5*24=120",
"154-120=34"
] | Current State: 34:[74, 5, 80, 24], Operations: []
Exploring Operation: 74+80=154, Resulting Numbers: [5, 24, 154]
Generated Node #2: [5, 24, 154] from Operation: 74+80=154
Current State: 34:[5, 24, 154], Operations: ['74+80=154']
Exploring Operation: 5*24=120, Resulting Numbers: [154, 120]
Generated Node #3: [154, 120] from Operation: 5*24=120
Current State: 34:[154, 120], Operations: ['74+80=154', '5*24=120']
Exploring Operation: 154-120=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
20,
66,
30,
92
] | 80 | [
"66+30=96",
"96-92=4",
"20*4=80"
] | Current State: 80:[20, 66, 30, 92], Operations: []
Exploring Operation: 66+30=96, Resulting Numbers: [20, 92, 96]
Generated Node #2: [20, 92, 96] from Operation: 66+30=96
Current State: 80:[20, 92, 96], Operations: ['66+30=96']
Exploring Operation: 96-92=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 96-92=4
Current State: 80:[20, 4], Operations: ['66+30=96', '96-92=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
44,
4,
37,
59
] | 33 | [
"44/4=11",
"59-37=22",
"11+22=33"
] | Current State: 33:[44, 4, 37, 59], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [37, 59, 11]
Generated Node #2: [37, 59, 11] from Operation: 44/4=11
Current State: 33:[37, 59, 11], Operations: ['44/4=11']
Exploring Operation: 59-37=22, Resulting Numbers: [11, 22]
Generated Node #3: [11, 22] from Operation: 59-37=22
Current State: 33:[11, 22], Operations: ['44/4=11', '59-37=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
72,
74,
79,
51
] | 69 | [
"74+79=153",
"153/51=3",
"72-3=69"
] | Current State: 69:[72, 74, 79, 51], Operations: []
Exploring Operation: 74+79=153, Resulting Numbers: [72, 51, 153]
Generated Node #2: [72, 51, 153] from Operation: 74+79=153
Current State: 69:[72, 51, 153], Operations: ['74+79=153']
Exploring Operation: 153/51=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 153/51=3
Current State: 69:[72, 3], Operations: ['74+79=153', '153/51=3']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
33,
54,
17,
99
] | 24 | [
"54+99=153",
"153/17=9",
"33-9=24"
] | Current State: 24:[33, 54, 17, 99], Operations: []
Exploring Operation: 54+99=153, Resulting Numbers: [33, 17, 153]
Generated Node #2: [33, 17, 153] from Operation: 54+99=153
Current State: 24:[33, 17, 153], Operations: ['54+99=153']
Exploring Operation: 153/17=9, Resulting Numbers: [33, 9]
Generated Node #3: [33, 9] from Operation: 153/17=9
Current State: 24:[33, 9], Operations: ['54+99=153', '153/17=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
38,
52,
80,
42
] | 51 | [
"80-38=42",
"42/42=1",
"52-1=51"
] | Current State: 51:[38, 52, 80, 42], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [52, 42, 42]
Generated Node #2: [52, 42, 42] from Operation: 80-38=42
Current State: 51:[52, 42, 42], Operations: ['80-38=42']
Exploring Operation: 42/42=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 42/42=1
Current State: 51:[52, 1], Operations: ['80-38=42', '42/42=1']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
4,
88,
13,
55
] | 44 | [
"88+55=143",
"4*143=572",
"572/13=44"
] | Current State: 44:[4, 88, 13, 55], Operations: []
Exploring Operation: 88+55=143, Resulting Numbers: [4, 13, 143]
Generated Node #2: [4, 13, 143] from Operation: 88+55=143
Current State: 44:[4, 13, 143], Operations: ['88+55=143']
Exploring Operation: 4*143=572, Resulting Numbers: [13, 572]
Generated Node #3: [13, 572] from Operation: 4*143=572
Current State: 44:[13, 572], Operations: ['88+55=143', '4*143=572']
Exploring Operation: 572/13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
63,
24,
40,
43
] | 84 | [
"63+24=87",
"43-40=3",
"87-3=84"
] | Current State: 84:[63, 24, 40, 43], Operations: []
Exploring Operation: 63+24=87, Resulting Numbers: [40, 43, 87]
Generated Node #2: [40, 43, 87] from Operation: 63+24=87
Current State: 84:[40, 43, 87], Operations: ['63+24=87']
Exploring Operation: 43-40=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 43-40=3
Current State: 84:[87, 3], Operations: ['63+24=87', '43-40=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
39,
33,
61,
64
] | 60 | [
"64-61=3",
"33*3=99",
"99-39=60"
] | Current State: 60:[39, 33, 61, 64], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [39, 33, 3]
Generated Node #2: [39, 33, 3] from Operation: 64-61=3
Current State: 60:[39, 33, 3], Operations: ['64-61=3']
Exploring Operation: 33*3=99, Resulting Numbers: [39, 99]
Generated Node #3: [39, 99] from Operation: 33*3=99
Current State: 60:[39, 99], Operations: ['64-61=3', '33*3=99']
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
77,
16,
44,
4
] | 83 | [
"77+16=93",
"44*4=176",
"176-93=83"
] | Current State: 83:[77, 16, 44, 4], Operations: []
Exploring Operation: 77+16=93, Resulting Numbers: [44, 4, 93]
Generated Node #2: [44, 4, 93] from Operation: 77+16=93
Current State: 83:[44, 4, 93], Operations: ['77+16=93']
Exploring Operation: 44*4=176, Resulting Numbers: [93, 176]
Generated Node #3: [93, 176] from Operation: 44*4=176
Current State: 83:[93, 176], Operations: ['77+16=93', '44*4=176']
Exploring Operation: 176-93=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
17,
1,
78,
25
] | 87 | [
"17-1=16",
"78+25=103",
"103-16=87"
] | Current State: 87:[17, 1, 78, 25], Operations: []
Exploring Operation: 17-1=16, Resulting Numbers: [78, 25, 16]
Generated Node #2: [78, 25, 16] from Operation: 17-1=16
Current State: 87:[78, 25, 16], Operations: ['17-1=16']
Exploring Operation: 78+25=103, Resulting Numbers: [16, 103]
Generated Node #3: [16, 103] from Operation: 78+25=103
Current State: 87:[16, 103], Operations: ['17-1=16', '78+25=103']
Exploring Operation: 103-16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
56,
52,
12,
36
] | 42 | [
"56*12=672",
"52-36=16",
"672/16=42"
] | Current State: 42:[56, 52, 12, 36], Operations: []
Exploring Operation: 56*12=672, Resulting Numbers: [52, 36, 672]
Generated Node #2: [52, 36, 672] from Operation: 56*12=672
Current State: 42:[52, 36, 672], Operations: ['56*12=672']
Exploring Operation: 52-36=16, Resulting Numbers: [672, 16]
Generated Node #3: [672, 16] from Operation: 52-36=16
Current State: 42:[672, 16], Operations: ['56*12=672', '52-36=16']
Exploring Operation: 672/16=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
76,
59,
19,
28
] | 27 | [
"76/19=4",
"59-28=31",
"31-4=27"
] | Current State: 27:[76, 59, 19, 28], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [59, 28, 4]
Generated Node #2: [59, 28, 4] from Operation: 76/19=4
Current State: 27:[59, 28, 4], Operations: ['76/19=4']
Exploring Operation: 59-28=31, Resulting Numbers: [4, 31]
Generated Node #3: [4, 31] from Operation: 59-28=31
Current State: 27:[4, 31], Operations: ['76/19=4', '59-28=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
43,
63,
66,
99
] | 30 | [
"63-43=20",
"99*20=1980",
"1980/66=30"
] | Current State: 30:[43, 63, 66, 99], Operations: []
Exploring Operation: 63-43=20, Resulting Numbers: [66, 99, 20]
Generated Node #2: [66, 99, 20] from Operation: 63-43=20
Current State: 30:[66, 99, 20], Operations: ['63-43=20']
Exploring Operation: 99*20=1980, Resulting Numbers: [66, 1980]
Generated Node #3: [66, 1980] from Operation: 99*20=1980
Current State: 30:[66, 1980], Operations: ['63-43=20', '99*20=1980']
Exploring Operation: 1980/66=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
43,
51,
91,
15
] | 13 | [
"51-43=8",
"15-8=7",
"91/7=13"
] | Current State: 13:[43, 51, 91, 15], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [91, 15, 8]
Generated Node #2: [91, 15, 8] from Operation: 51-43=8
Current State: 13:[91, 15, 8], Operations: ['51-43=8']
Exploring Operation: 15-8=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 15-8=7
Current State: 13:[91, 7], Operations: ['51-43=8', '15-8=7']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
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