nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
49,
22,
28,
41
] | 15 | [
"49+41=90",
"28-22=6",
"90/6=15"
] | Current State: 15:[49, 22, 28, 41], Operations: []
Exploring Operation: 49+41=90, Resulting Numbers: [22, 28, 90]
Generated Node #2: [22, 28, 90] from Operation: 49+41=90
Current State: 15:[22, 28, 90], Operations: ['49+41=90']
Exploring Operation: 28-22=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 28-22=6
Current State: 15:[90, 6], Operations: ['49+41=90', '28-22=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
10,
45,
55,
74
] | 74 | [
"10+45=55",
"55+74=129",
"129-55=74"
] | Current State: 74:[10, 45, 55, 74], Operations: []
Exploring Operation: 10+45=55, Resulting Numbers: [55, 74, 55]
Generated Node #2: [55, 74, 55] from Operation: 10+45=55
Current State: 74:[55, 74, 55], Operations: ['10+45=55']
Exploring Operation: 55+74=129, Resulting Numbers: [129]
129,74 equal: Goal Reached
Exploring Operation: 129-55=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
3,
7,
20,
88
] | 83 | [
"7-3=4",
"20/4=5",
"88-5=83"
] | Current State: 83:[3, 7, 20, 88], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [20, 88, 4]
Generated Node #2: [20, 88, 4] from Operation: 7-3=4
Current State: 83:[20, 88, 4], Operations: ['7-3=4']
Exploring Operation: 20/4=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 20/4=5
Current State: 83:[88, 5], Operations: ['7-3=4', '20/4=5']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
36,
29,
42,
45
] | 62 | [
"36+29=65",
"45-42=3",
"65-3=62"
] | Current State: 62:[36, 29, 42, 45], Operations: []
Exploring Operation: 36+29=65, Resulting Numbers: [42, 45, 65]
Generated Node #2: [42, 45, 65] from Operation: 36+29=65
Current State: 62:[42, 45, 65], Operations: ['36+29=65']
Exploring Operation: 45-42=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 45-42=3
Current State: 62:[65, 3], Operations: ['36+29=65', '45-42=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
17,
55,
93
] | 26 | [
"17+93=110",
"110/55=2",
"24+2=26"
] | Current State: 26:[24, 17, 55, 93], Operations: []
Exploring Operation: 17+93=110, Resulting Numbers: [24, 55, 110]
Generated Node #2: [24, 55, 110] from Operation: 17+93=110
Current State: 26:[24, 55, 110], Operations: ['17+93=110']
Exploring Operation: 110/55=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 110/55=2
Current State: 26:[24, 2], Operations: ['17+93=110', '110/55=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
61,
42,
77,
3
] | 61 | [
"61-42=19",
"77+3=80",
"80-19=61"
] | Current State: 61:[61, 42, 77, 3], Operations: []
Exploring Operation: 61-42=19, Resulting Numbers: [77, 3, 19]
Generated Node #2: [77, 3, 19] from Operation: 61-42=19
Current State: 61:[77, 3, 19], Operations: ['61-42=19']
Exploring Operation: 77+3=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 77+3=80
Current State: 61:[19, 80], Operations: ['61-42=19', '77+3=80']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
24,
92,
26,
46
] | 37 | [
"92/46=2",
"26/2=13",
"24+13=37"
] | Current State: 37:[24, 92, 26, 46], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [24, 26, 2]
Generated Node #2: [24, 26, 2] from Operation: 92/46=2
Current State: 37:[24, 26, 2], Operations: ['92/46=2']
Exploring Operation: 26/2=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 26/2=13
Current State: 37:[24, 13], Operations: ['92/46=2', '26/2=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
36,
54,
44,
10
] | 26 | [
"44-36=8",
"10*8=80",
"80-54=26"
] | Current State: 26:[36, 54, 44, 10], Operations: []
Exploring Operation: 44-36=8, Resulting Numbers: [54, 10, 8]
Generated Node #2: [54, 10, 8] from Operation: 44-36=8
Current State: 26:[54, 10, 8], Operations: ['44-36=8']
Exploring Operation: 10*8=80, Resulting Numbers: [54, 80]
Generated Node #3: [54, 80] from Operation: 10*8=80
Current State: 26:[54, 80], Operations: ['44-36=8', '10*8=80']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
33,
77,
20,
37
] | 93 | [
"33+77=110",
"37-20=17",
"110-17=93"
] | Current State: 93:[33, 77, 20, 37], Operations: []
Exploring Operation: 33+77=110, Resulting Numbers: [20, 37, 110]
Generated Node #2: [20, 37, 110] from Operation: 33+77=110
Current State: 93:[20, 37, 110], Operations: ['33+77=110']
Exploring Operation: 37-20=17, Resulting Numbers: [110, 17]
Generated Node #3: [110, 17] from Operation: 37-20=17
Current State: 93:[110, 17], Operations: ['33+77=110', '37-20=17']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
5,
39,
42,
37
] | 29 | [
"39-5=34",
"42-37=5",
"34-5=29"
] | Current State: 29:[5, 39, 42, 37], Operations: []
Exploring Operation: 39-5=34, Resulting Numbers: [42, 37, 34]
Generated Node #2: [42, 37, 34] from Operation: 39-5=34
Current State: 29:[42, 37, 34], Operations: ['39-5=34']
Exploring Operation: 42-37=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 42-37=5
Current State: 29:[34, 5], Operations: ['39-5=34', '42-37=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
66,
31,
48,
48
] | 35 | [
"66-31=35",
"48-48=0",
"35+0=35"
] | Current State: 35:[66, 31, 48, 48], Operations: []
Exploring Operation: 66-31=35, Resulting Numbers: [48, 48, 35]
Generated Node #2: [48, 48, 35] from Operation: 66-31=35
Current State: 35:[48, 48, 35], Operations: ['66-31=35']
Exploring Operation: 48-48=0, Resulting Numbers: [35, 0]
Generated Node #3: [35, 0] from Operation: 48-48=0
Current State: 35:[35, 0], Operations: ['66-31=35', '48-48=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
44,
68,
28,
56
] | 22 | [
"68-44=24",
"56/28=2",
"24-2=22"
] | Current State: 22:[44, 68, 28, 56], Operations: []
Exploring Operation: 68-44=24, Resulting Numbers: [28, 56, 24]
Generated Node #2: [28, 56, 24] from Operation: 68-44=24
Current State: 22:[28, 56, 24], Operations: ['68-44=24']
Exploring Operation: 56/28=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 56/28=2
Current State: 22:[24, 2], Operations: ['68-44=24', '56/28=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
62,
6,
62,
12
] | 78 | [
"62/62=1",
"12+1=13",
"6*13=78"
] | Current State: 78:[62, 6, 62, 12], Operations: []
Exploring Operation: 62/62=1, Resulting Numbers: [6, 12, 1]
Generated Node #2: [6, 12, 1] from Operation: 62/62=1
Current State: 78:[6, 12, 1], Operations: ['62/62=1']
Exploring Operation: 12+1=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 12+1=13
Current State: 78:[6, 13], Operations: ['62/62=1', '12+1=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
27,
54,
70,
50
] | 95 | [
"54/27=2",
"50/2=25",
"70+25=95"
] | Current State: 95:[27, 54, 70, 50], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [70, 50, 2]
Generated Node #2: [70, 50, 2] from Operation: 54/27=2
Current State: 95:[70, 50, 2], Operations: ['54/27=2']
Exploring Operation: 50/2=25, Resulting Numbers: [70, 25]
Generated Node #3: [70, 25] from Operation: 50/2=25
Current State: 95:[70, 25], Operations: ['54/27=2', '50/2=25']
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
37,
53,
88,
4
] | 76 | [
"53-37=16",
"88+4=92",
"92-16=76"
] | Current State: 76:[37, 53, 88, 4], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [88, 4, 16]
Generated Node #2: [88, 4, 16] from Operation: 53-37=16
Current State: 76:[88, 4, 16], Operations: ['53-37=16']
Exploring Operation: 88+4=92, Resulting Numbers: [16, 92]
Generated Node #3: [16, 92] from Operation: 88+4=92
Current State: 76:[16, 92], Operations: ['53-37=16', '88+4=92']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
15,
48,
53,
7
] | 30 | [
"53-48=5",
"7-5=2",
"15*2=30"
] | Current State: 30:[15, 48, 53, 7], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [15, 7, 5]
Generated Node #2: [15, 7, 5] from Operation: 53-48=5
Current State: 30:[15, 7, 5], Operations: ['53-48=5']
Exploring Operation: 7-5=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 7-5=2
Current State: 30:[15, 2], Operations: ['53-48=5', '7-5=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
72,
27,
7,
43
] | 81 | [
"72-27=45",
"43-7=36",
"45+36=81"
] | Current State: 81:[72, 27, 7, 43], Operations: []
Exploring Operation: 72-27=45, Resulting Numbers: [7, 43, 45]
Generated Node #2: [7, 43, 45] from Operation: 72-27=45
Current State: 81:[7, 43, 45], Operations: ['72-27=45']
Exploring Operation: 43-7=36, Resulting Numbers: [45, 36]
Generated Node #3: [45, 36] from Operation: 43-7=36
Current State: 81:[45, 36], Operations: ['72-27=45', '43-7=36']
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
31,
48,
50,
12
] | 46 | [
"50+12=62",
"62/31=2",
"48-2=46"
] | Current State: 46:[31, 48, 50, 12], Operations: []
Exploring Operation: 50+12=62, Resulting Numbers: [31, 48, 62]
Generated Node #2: [31, 48, 62] from Operation: 50+12=62
Current State: 46:[31, 48, 62], Operations: ['50+12=62']
Exploring Operation: 62/31=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 62/31=2
Current State: 46:[48, 2], Operations: ['50+12=62', '62/31=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
91,
63,
99,
32
] | 87 | [
"91+63=154",
"99-32=67",
"154-67=87"
] | Current State: 87:[91, 63, 99, 32], Operations: []
Exploring Operation: 91+63=154, Resulting Numbers: [99, 32, 154]
Generated Node #2: [99, 32, 154] from Operation: 91+63=154
Current State: 87:[99, 32, 154], Operations: ['91+63=154']
Exploring Operation: 99-32=67, Resulting Numbers: [154, 67]
Generated Node #3: [154, 67] from Operation: 99-32=67
Current State: 87:[154, 67], Operations: ['91+63=154', '99-32=67']
Exploring Operation: 154-67=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
73,
37,
53,
6
] | 88 | [
"37+53=90",
"90/6=15",
"73+15=88"
] | Current State: 88:[73, 37, 53, 6], Operations: []
Exploring Operation: 37+53=90, Resulting Numbers: [73, 6, 90]
Generated Node #2: [73, 6, 90] from Operation: 37+53=90
Current State: 88:[73, 6, 90], Operations: ['37+53=90']
Exploring Operation: 90/6=15, Resulting Numbers: [73, 15]
Generated Node #3: [73, 15] from Operation: 90/6=15
Current State: 88:[73, 15], Operations: ['37+53=90', '90/6=15']
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
59,
27,
12,
17
] | 76 | [
"17-12=5",
"27*5=135",
"135-59=76"
] | Current State: 76:[59, 27, 12, 17], Operations: []
Exploring Operation: 17-12=5, Resulting Numbers: [59, 27, 5]
Generated Node #2: [59, 27, 5] from Operation: 17-12=5
Current State: 76:[59, 27, 5], Operations: ['17-12=5']
Exploring Operation: 27*5=135, Resulting Numbers: [59, 135]
Generated Node #3: [59, 135] from Operation: 27*5=135
Current State: 76:[59, 135], Operations: ['17-12=5', '27*5=135']
Exploring Operation: 135-59=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
85,
15,
96,
4
] | 16 | [
"85+15=100",
"100-96=4",
"4*4=16"
] | Current State: 16:[85, 15, 96, 4], Operations: []
Exploring Operation: 85+15=100, Resulting Numbers: [96, 4, 100]
Generated Node #2: [96, 4, 100] from Operation: 85+15=100
Current State: 16:[96, 4, 100], Operations: ['85+15=100']
Exploring Operation: 100-96=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 100-96=4
Current State: 16:[4, 4], Operations: ['85+15=100', '100-96=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
51,
38,
18,
55
] | 51 | [
"38+18=56",
"56-55=1",
"51*1=51"
] | Current State: 51:[51, 38, 18, 55], Operations: []
Exploring Operation: 38+18=56, Resulting Numbers: [51, 55, 56]
Generated Node #2: [51, 55, 56] from Operation: 38+18=56
Current State: 51:[51, 55, 56], Operations: ['38+18=56']
Exploring Operation: 56-55=1, Resulting Numbers: [51, 1]
Generated Node #3: [51, 1] from Operation: 56-55=1
Current State: 51:[51, 1], Operations: ['38+18=56', '56-55=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
64,
33,
66,
52
] | 84 | [
"64*33=2112",
"2112/66=32",
"52+32=84"
] | Current State: 84:[64, 33, 66, 52], Operations: []
Exploring Operation: 64*33=2112, Resulting Numbers: [66, 52, 2112]
Generated Node #2: [66, 52, 2112] from Operation: 64*33=2112
Current State: 84:[66, 52, 2112], Operations: ['64*33=2112']
Exploring Operation: 2112/66=32, Resulting Numbers: [52, 32]
Generated Node #3: [52, 32] from Operation: 2112/66=32
Current State: 84:[52, 32], Operations: ['64*33=2112', '2112/66=32']
Exploring Operation: 52+32=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
17,
88,
83,
4
] | 88 | [
"17+88=105",
"105-83=22",
"4*22=88"
] | Current State: 88:[17, 88, 83, 4], Operations: []
Exploring Operation: 17+88=105, Resulting Numbers: [83, 4, 105]
Generated Node #2: [83, 4, 105] from Operation: 17+88=105
Current State: 88:[83, 4, 105], Operations: ['17+88=105']
Exploring Operation: 105-83=22, Resulting Numbers: [4, 22]
Generated Node #3: [4, 22] from Operation: 105-83=22
Current State: 88:[4, 22], Operations: ['17+88=105', '105-83=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
10,
65,
4,
18
] | 47 | [
"10+18=28",
"4*28=112",
"112-65=47"
] | Current State: 47:[10, 65, 4, 18], Operations: []
Exploring Operation: 10+18=28, Resulting Numbers: [65, 4, 28]
Generated Node #2: [65, 4, 28] from Operation: 10+18=28
Current State: 47:[65, 4, 28], Operations: ['10+18=28']
Exploring Operation: 4*28=112, Resulting Numbers: [65, 112]
Generated Node #3: [65, 112] from Operation: 4*28=112
Current State: 47:[65, 112], Operations: ['10+18=28', '4*28=112']
Exploring Operation: 112-65=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
45,
53,
14,
20
] | 27 | [
"45+53=98",
"98/14=7",
"20+7=27"
] | Current State: 27:[45, 53, 14, 20], Operations: []
Exploring Operation: 45+53=98, Resulting Numbers: [14, 20, 98]
Generated Node #2: [14, 20, 98] from Operation: 45+53=98
Current State: 27:[14, 20, 98], Operations: ['45+53=98']
Exploring Operation: 98/14=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 98/14=7
Current State: 27:[20, 7], Operations: ['45+53=98', '98/14=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
3,
89,
31,
71
] | 52 | [
"3+89=92",
"71-31=40",
"92-40=52"
] | Current State: 52:[3, 89, 31, 71], Operations: []
Exploring Operation: 3+89=92, Resulting Numbers: [31, 71, 92]
Generated Node #2: [31, 71, 92] from Operation: 3+89=92
Current State: 52:[31, 71, 92], Operations: ['3+89=92']
Exploring Operation: 71-31=40, Resulting Numbers: [92, 40]
Generated Node #3: [92, 40] from Operation: 71-31=40
Current State: 52:[92, 40], Operations: ['3+89=92', '71-31=40']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
44,
55,
13,
74
] | 69 | [
"55-44=11",
"13*11=143",
"143-74=69"
] | Current State: 69:[44, 55, 13, 74], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [13, 74, 11]
Generated Node #2: [13, 74, 11] from Operation: 55-44=11
Current State: 69:[13, 74, 11], Operations: ['55-44=11']
Exploring Operation: 13*11=143, Resulting Numbers: [74, 143]
Generated Node #3: [74, 143] from Operation: 13*11=143
Current State: 69:[74, 143], Operations: ['55-44=11', '13*11=143']
Exploring Operation: 143-74=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
50,
88,
53,
81
] | 66 | [
"88-50=38",
"81-53=28",
"38+28=66"
] | Current State: 66:[50, 88, 53, 81], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [53, 81, 38]
Generated Node #2: [53, 81, 38] from Operation: 88-50=38
Current State: 66:[53, 81, 38], Operations: ['88-50=38']
Exploring Operation: 81-53=28, Resulting Numbers: [38, 28]
Generated Node #3: [38, 28] from Operation: 81-53=28
Current State: 66:[38, 28], Operations: ['88-50=38', '81-53=28']
Exploring Operation: 38+28=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
74,
67,
79
] | 52 | [
"74-10=64",
"79-67=12",
"64-12=52"
] | Current State: 52:[10, 74, 67, 79], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [67, 79, 64]
Generated Node #2: [67, 79, 64] from Operation: 74-10=64
Current State: 52:[67, 79, 64], Operations: ['74-10=64']
Exploring Operation: 79-67=12, Resulting Numbers: [64, 12]
Generated Node #3: [64, 12] from Operation: 79-67=12
Current State: 52:[64, 12], Operations: ['74-10=64', '79-67=12']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
27,
52,
86,
29
] | 69 | [
"29-27=2",
"52+86=138",
"138/2=69"
] | Current State: 69:[27, 52, 86, 29], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [52, 86, 2]
Generated Node #2: [52, 86, 2] from Operation: 29-27=2
Current State: 69:[52, 86, 2], Operations: ['29-27=2']
Exploring Operation: 52+86=138, Resulting Numbers: [2, 138]
Generated Node #3: [2, 138] from Operation: 52+86=138
Current State: 69:[2, 138], Operations: ['29-27=2', '52+86=138']
Exploring Operation: 138/2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
87,
3,
44,
56
] | 41 | [
"87/3=29",
"56-44=12",
"29+12=41"
] | Current State: 41:[87, 3, 44, 56], Operations: []
Exploring Operation: 87/3=29, Resulting Numbers: [44, 56, 29]
Generated Node #2: [44, 56, 29] from Operation: 87/3=29
Current State: 41:[44, 56, 29], Operations: ['87/3=29']
Exploring Operation: 56-44=12, Resulting Numbers: [29, 12]
Generated Node #3: [29, 12] from Operation: 56-44=12
Current State: 41:[29, 12], Operations: ['87/3=29', '56-44=12']
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
15,
68,
1,
22
] | 75 | [
"68-15=53",
"1*22=22",
"53+22=75"
] | Current State: 75:[15, 68, 1, 22], Operations: []
Exploring Operation: 68-15=53, Resulting Numbers: [1, 22, 53]
Generated Node #2: [1, 22, 53] from Operation: 68-15=53
Current State: 75:[1, 22, 53], Operations: ['68-15=53']
Exploring Operation: 1*22=22, Resulting Numbers: [53, 22]
Generated Node #3: [53, 22] from Operation: 1*22=22
Current State: 75:[53, 22], Operations: ['68-15=53', '1*22=22']
Exploring Operation: 53+22=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
6,
75,
45,
27
] | 62 | [
"75+27=102",
"102/6=17",
"45+17=62"
] | Current State: 62:[6, 75, 45, 27], Operations: []
Exploring Operation: 75+27=102, Resulting Numbers: [6, 45, 102]
Generated Node #2: [6, 45, 102] from Operation: 75+27=102
Current State: 62:[6, 45, 102], Operations: ['75+27=102']
Exploring Operation: 102/6=17, Resulting Numbers: [45, 17]
Generated Node #3: [45, 17] from Operation: 102/6=17
Current State: 62:[45, 17], Operations: ['75+27=102', '102/6=17']
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
5,
38,
89,
24
] | 51 | [
"89-24=65",
"65/5=13",
"38+13=51"
] | Current State: 51:[5, 38, 89, 24], Operations: []
Exploring Operation: 89-24=65, Resulting Numbers: [5, 38, 65]
Generated Node #2: [5, 38, 65] from Operation: 89-24=65
Current State: 51:[5, 38, 65], Operations: ['89-24=65']
Exploring Operation: 65/5=13, Resulting Numbers: [38, 13]
Generated Node #3: [38, 13] from Operation: 65/5=13
Current State: 51:[38, 13], Operations: ['89-24=65', '65/5=13']
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
65,
23,
29,
36
] | 81 | [
"65+23=88",
"36-29=7",
"88-7=81"
] | Current State: 81:[65, 23, 29, 36], Operations: []
Exploring Operation: 65+23=88, Resulting Numbers: [29, 36, 88]
Generated Node #2: [29, 36, 88] from Operation: 65+23=88
Current State: 81:[29, 36, 88], Operations: ['65+23=88']
Exploring Operation: 36-29=7, Resulting Numbers: [88, 7]
Generated Node #3: [88, 7] from Operation: 36-29=7
Current State: 81:[88, 7], Operations: ['65+23=88', '36-29=7']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
46,
79,
66,
25
] | 34 | [
"46+79=125",
"66+25=91",
"125-91=34"
] | Current State: 34:[46, 79, 66, 25], Operations: []
Exploring Operation: 46+79=125, Resulting Numbers: [66, 25, 125]
Generated Node #2: [66, 25, 125] from Operation: 46+79=125
Current State: 34:[66, 25, 125], Operations: ['46+79=125']
Exploring Operation: 66+25=91, Resulting Numbers: [125, 91]
Generated Node #3: [125, 91] from Operation: 66+25=91
Current State: 34:[125, 91], Operations: ['46+79=125', '66+25=91']
Exploring Operation: 125-91=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
79,
20,
91,
74
] | 95 | [
"79-74=5",
"20/5=4",
"91+4=95"
] | Current State: 95:[79, 20, 91, 74], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [20, 91, 5]
Generated Node #2: [20, 91, 5] from Operation: 79-74=5
Current State: 95:[20, 91, 5], Operations: ['79-74=5']
Exploring Operation: 20/5=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 20/5=4
Current State: 95:[91, 4], Operations: ['79-74=5', '20/5=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
15,
77,
43
] | 99 | [
"6+15=21",
"77+43=120",
"120-21=99"
] | Current State: 99:[6, 15, 77, 43], Operations: []
Exploring Operation: 6+15=21, Resulting Numbers: [77, 43, 21]
Generated Node #2: [77, 43, 21] from Operation: 6+15=21
Current State: 99:[77, 43, 21], Operations: ['6+15=21']
Exploring Operation: 77+43=120, Resulting Numbers: [21, 120]
Generated Node #3: [21, 120] from Operation: 77+43=120
Current State: 99:[21, 120], Operations: ['6+15=21', '77+43=120']
Exploring Operation: 120-21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
42,
15,
53,
69
] | 65 | [
"42+15=57",
"53+69=122",
"122-57=65"
] | Current State: 65:[42, 15, 53, 69], Operations: []
Exploring Operation: 42+15=57, Resulting Numbers: [53, 69, 57]
Generated Node #2: [53, 69, 57] from Operation: 42+15=57
Current State: 65:[53, 69, 57], Operations: ['42+15=57']
Exploring Operation: 53+69=122, Resulting Numbers: [57, 122]
Generated Node #3: [57, 122] from Operation: 53+69=122
Current State: 65:[57, 122], Operations: ['42+15=57', '53+69=122']
Exploring Operation: 122-57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
15,
43,
94,
76
] | 46 | [
"43-15=28",
"94-76=18",
"28+18=46"
] | Current State: 46:[15, 43, 94, 76], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [94, 76, 28]
Generated Node #2: [94, 76, 28] from Operation: 43-15=28
Current State: 46:[94, 76, 28], Operations: ['43-15=28']
Exploring Operation: 94-76=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 94-76=18
Current State: 46:[28, 18], Operations: ['43-15=28', '94-76=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
59,
6,
3,
84
] | 27 | [
"84-59=25",
"6/3=2",
"25+2=27"
] | Current State: 27:[59, 6, 3, 84], Operations: []
Exploring Operation: 84-59=25, Resulting Numbers: [6, 3, 25]
Generated Node #2: [6, 3, 25] from Operation: 84-59=25
Current State: 27:[6, 3, 25], Operations: ['84-59=25']
Exploring Operation: 6/3=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 6/3=2
Current State: 27:[25, 2], Operations: ['84-59=25', '6/3=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
57,
90,
98,
43
] | 97 | [
"57-43=14",
"98/14=7",
"90+7=97"
] | Current State: 97:[57, 90, 98, 43], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [90, 98, 14]
Generated Node #2: [90, 98, 14] from Operation: 57-43=14
Current State: 97:[90, 98, 14], Operations: ['57-43=14']
Exploring Operation: 98/14=7, Resulting Numbers: [90, 7]
Generated Node #3: [90, 7] from Operation: 98/14=7
Current State: 97:[90, 7], Operations: ['57-43=14', '98/14=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
65,
84,
54,
44
] | 51 | [
"65+84=149",
"54+44=98",
"149-98=51"
] | Current State: 51:[65, 84, 54, 44], Operations: []
Exploring Operation: 65+84=149, Resulting Numbers: [54, 44, 149]
Generated Node #2: [54, 44, 149] from Operation: 65+84=149
Current State: 51:[54, 44, 149], Operations: ['65+84=149']
Exploring Operation: 54+44=98, Resulting Numbers: [149, 98]
Generated Node #3: [149, 98] from Operation: 54+44=98
Current State: 51:[149, 98], Operations: ['65+84=149', '54+44=98']
Exploring Operation: 149-98=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
40,
45,
30
] | 51 | [
"40*45=1800",
"1800/30=60",
"60-9=51"
] | Current State: 51:[9, 40, 45, 30], Operations: []
Exploring Operation: 40*45=1800, Resulting Numbers: [9, 30, 1800]
Generated Node #2: [9, 30, 1800] from Operation: 40*45=1800
Current State: 51:[9, 30, 1800], Operations: ['40*45=1800']
Exploring Operation: 1800/30=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 1800/30=60
Current State: 51:[9, 60], Operations: ['40*45=1800', '1800/30=60']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
71,
1,
80,
81
] | 10 | [
"80-71=9",
"81/9=9",
"1+9=10"
] | Current State: 10:[71, 1, 80, 81], Operations: []
Exploring Operation: 80-71=9, Resulting Numbers: [1, 81, 9]
Generated Node #2: [1, 81, 9] from Operation: 80-71=9
Current State: 10:[1, 81, 9], Operations: ['80-71=9']
Exploring Operation: 81/9=9, Resulting Numbers: [1, 9]
Generated Node #3: [1, 9] from Operation: 81/9=9
Current State: 10:[1, 9], Operations: ['80-71=9', '81/9=9']
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
84,
69,
92,
41
] | 95 | [
"69-41=28",
"84/28=3",
"92+3=95"
] | Current State: 95:[84, 69, 92, 41], Operations: []
Exploring Operation: 69-41=28, Resulting Numbers: [84, 92, 28]
Generated Node #2: [84, 92, 28] from Operation: 69-41=28
Current State: 95:[84, 92, 28], Operations: ['69-41=28']
Exploring Operation: 84/28=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 84/28=3
Current State: 95:[92, 3], Operations: ['69-41=28', '84/28=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
58,
5,
43,
24
] | 41 | [
"5+24=29",
"58/29=2",
"43-2=41"
] | Current State: 41:[58, 5, 43, 24], Operations: []
Exploring Operation: 5+24=29, Resulting Numbers: [58, 43, 29]
Generated Node #2: [58, 43, 29] from Operation: 5+24=29
Current State: 41:[58, 43, 29], Operations: ['5+24=29']
Exploring Operation: 58/29=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 58/29=2
Current State: 41:[43, 2], Operations: ['5+24=29', '58/29=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
71,
27,
46,
55
] | 57 | [
"71-27=44",
"46+55=101",
"101-44=57"
] | Current State: 57:[71, 27, 46, 55], Operations: []
Exploring Operation: 71-27=44, Resulting Numbers: [46, 55, 44]
Generated Node #2: [46, 55, 44] from Operation: 71-27=44
Current State: 57:[46, 55, 44], Operations: ['71-27=44']
Exploring Operation: 46+55=101, Resulting Numbers: [44, 101]
Generated Node #3: [44, 101] from Operation: 46+55=101
Current State: 57:[44, 101], Operations: ['71-27=44', '46+55=101']
Exploring Operation: 101-44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
39,
10,
97,
18
] | 66 | [
"39+10=49",
"97+18=115",
"115-49=66"
] | Current State: 66:[39, 10, 97, 18], Operations: []
Exploring Operation: 39+10=49, Resulting Numbers: [97, 18, 49]
Generated Node #2: [97, 18, 49] from Operation: 39+10=49
Current State: 66:[97, 18, 49], Operations: ['39+10=49']
Exploring Operation: 97+18=115, Resulting Numbers: [49, 115]
Generated Node #3: [49, 115] from Operation: 97+18=115
Current State: 66:[49, 115], Operations: ['39+10=49', '97+18=115']
Exploring Operation: 115-49=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
82,
95,
19,
62
] | 96 | [
"82+95=177",
"19+62=81",
"177-81=96"
] | Current State: 96:[82, 95, 19, 62], Operations: []
Exploring Operation: 82+95=177, Resulting Numbers: [19, 62, 177]
Generated Node #2: [19, 62, 177] from Operation: 82+95=177
Current State: 96:[19, 62, 177], Operations: ['82+95=177']
Exploring Operation: 19+62=81, Resulting Numbers: [177, 81]
Generated Node #3: [177, 81] from Operation: 19+62=81
Current State: 96:[177, 81], Operations: ['82+95=177', '19+62=81']
Exploring Operation: 177-81=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
80,
66,
39,
41
] | 12 | [
"80-66=14",
"41-39=2",
"14-2=12"
] | Current State: 12:[80, 66, 39, 41], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [39, 41, 14]
Generated Node #2: [39, 41, 14] from Operation: 80-66=14
Current State: 12:[39, 41, 14], Operations: ['80-66=14']
Exploring Operation: 41-39=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 41-39=2
Current State: 12:[14, 2], Operations: ['80-66=14', '41-39=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
38,
76,
71,
91
] | 99 | [
"76-71=5",
"38*5=190",
"190-91=99"
] | Current State: 99:[38, 76, 71, 91], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [38, 91, 5]
Generated Node #2: [38, 91, 5] from Operation: 76-71=5
Current State: 99:[38, 91, 5], Operations: ['76-71=5']
Exploring Operation: 38*5=190, Resulting Numbers: [91, 190]
Generated Node #3: [91, 190] from Operation: 38*5=190
Current State: 99:[91, 190], Operations: ['76-71=5', '38*5=190']
Exploring Operation: 190-91=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
53,
51,
16,
58
] | 100 | [
"53-51=2",
"58*2=116",
"116-16=100"
] | Current State: 100:[53, 51, 16, 58], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [16, 58, 2]
Generated Node #2: [16, 58, 2] from Operation: 53-51=2
Current State: 100:[16, 58, 2], Operations: ['53-51=2']
Exploring Operation: 58*2=116, Resulting Numbers: [16, 116]
Generated Node #3: [16, 116] from Operation: 58*2=116
Current State: 100:[16, 116], Operations: ['53-51=2', '58*2=116']
Exploring Operation: 116-16=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
37,
30,
71,
68
] | 15 | [
"71-37=34",
"30*34=1020",
"1020/68=15"
] | Current State: 15:[37, 30, 71, 68], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [30, 68, 34]
Generated Node #2: [30, 68, 34] from Operation: 71-37=34
Current State: 15:[30, 68, 34], Operations: ['71-37=34']
Exploring Operation: 30*34=1020, Resulting Numbers: [68, 1020]
Generated Node #3: [68, 1020] from Operation: 30*34=1020
Current State: 15:[68, 1020], Operations: ['71-37=34', '30*34=1020']
Exploring Operation: 1020/68=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
30,
87,
15,
5
] | 54 | [
"87-30=57",
"15/5=3",
"57-3=54"
] | Current State: 54:[30, 87, 15, 5], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [15, 5, 57]
Generated Node #2: [15, 5, 57] from Operation: 87-30=57
Current State: 54:[15, 5, 57], Operations: ['87-30=57']
Exploring Operation: 15/5=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 15/5=3
Current State: 54:[57, 3], Operations: ['87-30=57', '15/5=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
13,
68,
45,
93
] | 83 | [
"68-13=55",
"45+93=138",
"138-55=83"
] | Current State: 83:[13, 68, 45, 93], Operations: []
Exploring Operation: 68-13=55, Resulting Numbers: [45, 93, 55]
Generated Node #2: [45, 93, 55] from Operation: 68-13=55
Current State: 83:[45, 93, 55], Operations: ['68-13=55']
Exploring Operation: 45+93=138, Resulting Numbers: [55, 138]
Generated Node #3: [55, 138] from Operation: 45+93=138
Current State: 83:[55, 138], Operations: ['68-13=55', '45+93=138']
Exploring Operation: 138-55=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
61,
18,
36,
27
] | 59 | [
"18+36=54",
"54/27=2",
"61-2=59"
] | Current State: 59:[61, 18, 36, 27], Operations: []
Exploring Operation: 18+36=54, Resulting Numbers: [61, 27, 54]
Generated Node #2: [61, 27, 54] from Operation: 18+36=54
Current State: 59:[61, 27, 54], Operations: ['18+36=54']
Exploring Operation: 54/27=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 54/27=2
Current State: 59:[61, 2], Operations: ['18+36=54', '54/27=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
12,
15,
15,
75
] | 75 | [
"12*75=900",
"900/15=60",
"15+60=75"
] | Current State: 75:[12, 15, 15, 75], Operations: []
Exploring Operation: 12*75=900, Resulting Numbers: [15, 15, 900]
Generated Node #2: [15, 15, 900] from Operation: 12*75=900
Current State: 75:[15, 15, 900], Operations: ['12*75=900']
Exploring Operation: 900/15=60, Resulting Numbers: [60]
60,75 equal: Goal Reached
Exploring Operation: 15+60=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
24,
92,
90,
18
] | 84 | [
"24+18=42",
"92-90=2",
"42*2=84"
] | Current State: 84:[24, 92, 90, 18], Operations: []
Exploring Operation: 24+18=42, Resulting Numbers: [92, 90, 42]
Generated Node #2: [92, 90, 42] from Operation: 24+18=42
Current State: 84:[92, 90, 42], Operations: ['24+18=42']
Exploring Operation: 92-90=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 92-90=2
Current State: 84:[42, 2], Operations: ['24+18=42', '92-90=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
48,
16,
39,
82
] | 57 | [
"48+16=64",
"39+82=121",
"121-64=57"
] | Current State: 57:[48, 16, 39, 82], Operations: []
Exploring Operation: 48+16=64, Resulting Numbers: [39, 82, 64]
Generated Node #2: [39, 82, 64] from Operation: 48+16=64
Current State: 57:[39, 82, 64], Operations: ['48+16=64']
Exploring Operation: 39+82=121, Resulting Numbers: [64, 121]
Generated Node #3: [64, 121] from Operation: 39+82=121
Current State: 57:[64, 121], Operations: ['48+16=64', '39+82=121']
Exploring Operation: 121-64=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
4,
64,
1,
36
] | 33 | [
"4+64=68",
"36-1=35",
"68-35=33"
] | Current State: 33:[4, 64, 1, 36], Operations: []
Exploring Operation: 4+64=68, Resulting Numbers: [1, 36, 68]
Generated Node #2: [1, 36, 68] from Operation: 4+64=68
Current State: 33:[1, 36, 68], Operations: ['4+64=68']
Exploring Operation: 36-1=35, Resulting Numbers: [68, 35]
Generated Node #3: [68, 35] from Operation: 36-1=35
Current State: 33:[68, 35], Operations: ['4+64=68', '36-1=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
46,
44,
28,
84
] | 58 | [
"46-44=2",
"84-28=56",
"2+56=58"
] | Current State: 58:[46, 44, 28, 84], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [28, 84, 2]
Generated Node #2: [28, 84, 2] from Operation: 46-44=2
Current State: 58:[28, 84, 2], Operations: ['46-44=2']
Exploring Operation: 84-28=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 84-28=56
Current State: 58:[2, 56], Operations: ['46-44=2', '84-28=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
15,
75,
89,
10
] | 95 | [
"75-15=60",
"60/10=6",
"89+6=95"
] | Current State: 95:[15, 75, 89, 10], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [89, 10, 60]
Generated Node #2: [89, 10, 60] from Operation: 75-15=60
Current State: 95:[89, 10, 60], Operations: ['75-15=60']
Exploring Operation: 60/10=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 60/10=6
Current State: 95:[89, 6], Operations: ['75-15=60', '60/10=6']
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
95,
68,
97,
39
] | 85 | [
"95-68=27",
"97-39=58",
"27+58=85"
] | Current State: 85:[95, 68, 97, 39], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [97, 39, 27]
Generated Node #2: [97, 39, 27] from Operation: 95-68=27
Current State: 85:[97, 39, 27], Operations: ['95-68=27']
Exploring Operation: 97-39=58, Resulting Numbers: [27, 58]
Generated Node #3: [27, 58] from Operation: 97-39=58
Current State: 85:[27, 58], Operations: ['95-68=27', '97-39=58']
Exploring Operation: 27+58=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
61,
3,
11,
60
] | 70 | [
"61-11=50",
"60/3=20",
"50+20=70"
] | Current State: 70:[61, 3, 11, 60], Operations: []
Exploring Operation: 61-11=50, Resulting Numbers: [3, 60, 50]
Generated Node #2: [3, 60, 50] from Operation: 61-11=50
Current State: 70:[3, 60, 50], Operations: ['61-11=50']
Exploring Operation: 60/3=20, Resulting Numbers: [50, 20]
Generated Node #3: [50, 20] from Operation: 60/3=20
Current State: 70:[50, 20], Operations: ['61-11=50', '60/3=20']
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
2,
97,
10,
54
] | 96 | [
"97-54=43",
"2*43=86",
"10+86=96"
] | Current State: 96:[2, 97, 10, 54], Operations: []
Exploring Operation: 97-54=43, Resulting Numbers: [2, 10, 43]
Generated Node #2: [2, 10, 43] from Operation: 97-54=43
Current State: 96:[2, 10, 43], Operations: ['97-54=43']
Exploring Operation: 2*43=86, Resulting Numbers: [10, 86]
Generated Node #3: [10, 86] from Operation: 2*43=86
Current State: 96:[10, 86], Operations: ['97-54=43', '2*43=86']
Exploring Operation: 10+86=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
95,
97,
2,
10
] | 24 | [
"95+97=192",
"10-2=8",
"192/8=24"
] | Current State: 24:[95, 97, 2, 10], Operations: []
Exploring Operation: 95+97=192, Resulting Numbers: [2, 10, 192]
Generated Node #2: [2, 10, 192] from Operation: 95+97=192
Current State: 24:[2, 10, 192], Operations: ['95+97=192']
Exploring Operation: 10-2=8, Resulting Numbers: [192, 8]
Generated Node #3: [192, 8] from Operation: 10-2=8
Current State: 24:[192, 8], Operations: ['95+97=192', '10-2=8']
Exploring Operation: 192/8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
84,
8,
3,
12
] | 27 | [
"84-12=72",
"72/8=9",
"3*9=27"
] | Current State: 27:[84, 8, 3, 12], Operations: []
Exploring Operation: 84-12=72, Resulting Numbers: [8, 3, 72]
Generated Node #2: [8, 3, 72] from Operation: 84-12=72
Current State: 27:[8, 3, 72], Operations: ['84-12=72']
Exploring Operation: 72/8=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 72/8=9
Current State: 27:[3, 9], Operations: ['84-12=72', '72/8=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
93,
45,
39,
96
] | 32 | [
"96-93=3",
"39/3=13",
"45-13=32"
] | Current State: 32:[93, 45, 39, 96], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [45, 39, 3]
Generated Node #2: [45, 39, 3] from Operation: 96-93=3
Current State: 32:[45, 39, 3], Operations: ['96-93=3']
Exploring Operation: 39/3=13, Resulting Numbers: [45, 13]
Generated Node #3: [45, 13] from Operation: 39/3=13
Current State: 32:[45, 13], Operations: ['96-93=3', '39/3=13']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
93,
70,
24
] | 23 | [
"2*70=140",
"93+24=117",
"140-117=23"
] | Current State: 23:[2, 93, 70, 24], Operations: []
Exploring Operation: 2*70=140, Resulting Numbers: [93, 24, 140]
Generated Node #2: [93, 24, 140] from Operation: 2*70=140
Current State: 23:[93, 24, 140], Operations: ['2*70=140']
Exploring Operation: 93+24=117, Resulting Numbers: [140, 117]
Generated Node #3: [140, 117] from Operation: 93+24=117
Current State: 23:[140, 117], Operations: ['2*70=140', '93+24=117']
Exploring Operation: 140-117=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
18,
5,
36,
72
] | 16 | [
"72/18=4",
"5*4=20",
"36-20=16"
] | Current State: 16:[18, 5, 36, 72], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [5, 36, 4]
Generated Node #2: [5, 36, 4] from Operation: 72/18=4
Current State: 16:[5, 36, 4], Operations: ['72/18=4']
Exploring Operation: 5*4=20, Resulting Numbers: [36, 20]
Generated Node #3: [36, 20] from Operation: 5*4=20
Current State: 16:[36, 20], Operations: ['72/18=4', '5*4=20']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
85,
60,
54,
25
] | 99 | [
"85+25=110",
"54*110=5940",
"5940/60=99"
] | Current State: 99:[85, 60, 54, 25], Operations: []
Exploring Operation: 85+25=110, Resulting Numbers: [60, 54, 110]
Generated Node #2: [60, 54, 110] from Operation: 85+25=110
Current State: 99:[60, 54, 110], Operations: ['85+25=110']
Exploring Operation: 54*110=5940, Resulting Numbers: [60, 5940]
Generated Node #3: [60, 5940] from Operation: 54*110=5940
Current State: 99:[60, 5940], Operations: ['85+25=110', '54*110=5940']
Exploring Operation: 5940/60=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
23,
54,
34,
15
] | 37 | [
"54+15=69",
"69/23=3",
"34+3=37"
] | Current State: 37:[23, 54, 34, 15], Operations: []
Exploring Operation: 54+15=69, Resulting Numbers: [23, 34, 69]
Generated Node #2: [23, 34, 69] from Operation: 54+15=69
Current State: 37:[23, 34, 69], Operations: ['54+15=69']
Exploring Operation: 69/23=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 69/23=3
Current State: 37:[34, 3], Operations: ['54+15=69', '69/23=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
64,
5,
50,
12
] | 86 | [
"64+12=76",
"50/5=10",
"76+10=86"
] | Current State: 86:[64, 5, 50, 12], Operations: []
Exploring Operation: 64+12=76, Resulting Numbers: [5, 50, 76]
Generated Node #2: [5, 50, 76] from Operation: 64+12=76
Current State: 86:[5, 50, 76], Operations: ['64+12=76']
Exploring Operation: 50/5=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 50/5=10
Current State: 86:[76, 10], Operations: ['64+12=76', '50/5=10']
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
29,
99,
7,
28
] | 14 | [
"99-29=70",
"28+70=98",
"98/7=14"
] | Current State: 14:[29, 99, 7, 28], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [7, 28, 70]
Generated Node #2: [7, 28, 70] from Operation: 99-29=70
Current State: 14:[7, 28, 70], Operations: ['99-29=70']
Exploring Operation: 28+70=98, Resulting Numbers: [7, 98]
Generated Node #3: [7, 98] from Operation: 28+70=98
Current State: 14:[7, 98], Operations: ['99-29=70', '28+70=98']
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
54,
19,
58,
7
] | 83 | [
"58-54=4",
"19*4=76",
"7+76=83"
] | Current State: 83:[54, 19, 58, 7], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [19, 7, 4]
Generated Node #2: [19, 7, 4] from Operation: 58-54=4
Current State: 83:[19, 7, 4], Operations: ['58-54=4']
Exploring Operation: 19*4=76, Resulting Numbers: [7, 76]
Generated Node #3: [7, 76] from Operation: 19*4=76
Current State: 83:[7, 76], Operations: ['58-54=4', '19*4=76']
Exploring Operation: 7+76=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
70,
89,
5,
7
] | 45 | [
"70*7=490",
"89*5=445",
"490-445=45"
] | Current State: 45:[70, 89, 5, 7], Operations: []
Exploring Operation: 70*7=490, Resulting Numbers: [89, 5, 490]
Generated Node #2: [89, 5, 490] from Operation: 70*7=490
Current State: 45:[89, 5, 490], Operations: ['70*7=490']
Exploring Operation: 89*5=445, Resulting Numbers: [490, 445]
Generated Node #3: [490, 445] from Operation: 89*5=445
Current State: 45:[490, 445], Operations: ['70*7=490', '89*5=445']
Exploring Operation: 490-445=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
88,
24,
4,
3
] | 12 | [
"88-4=84",
"24*3=72",
"84-72=12"
] | Current State: 12:[88, 24, 4, 3], Operations: []
Exploring Operation: 88-4=84, Resulting Numbers: [24, 3, 84]
Generated Node #2: [24, 3, 84] from Operation: 88-4=84
Current State: 12:[24, 3, 84], Operations: ['88-4=84']
Exploring Operation: 24*3=72, Resulting Numbers: [84, 72]
Generated Node #3: [84, 72] from Operation: 24*3=72
Current State: 12:[84, 72], Operations: ['88-4=84', '24*3=72']
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
52,
50,
74
] | 22 | [
"52/26=2",
"74-50=24",
"24-2=22"
] | Current State: 22:[26, 52, 50, 74], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [50, 74, 2]
Generated Node #2: [50, 74, 2] from Operation: 52/26=2
Current State: 22:[50, 74, 2], Operations: ['52/26=2']
Exploring Operation: 74-50=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 74-50=24
Current State: 22:[2, 24], Operations: ['52/26=2', '74-50=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
4,
3,
38,
44
] | 66 | [
"4+44=48",
"3*38=114",
"114-48=66"
] | Current State: 66:[4, 3, 38, 44], Operations: []
Exploring Operation: 4+44=48, Resulting Numbers: [3, 38, 48]
Generated Node #2: [3, 38, 48] from Operation: 4+44=48
Current State: 66:[3, 38, 48], Operations: ['4+44=48']
Exploring Operation: 3*38=114, Resulting Numbers: [48, 114]
Generated Node #3: [48, 114] from Operation: 3*38=114
Current State: 66:[48, 114], Operations: ['4+44=48', '3*38=114']
Exploring Operation: 114-48=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
12,
43,
44,
83
] | 95 | [
"12+83=95",
"44-43=1",
"95*1=95"
] | Current State: 95:[12, 43, 44, 83], Operations: []
Exploring Operation: 12+83=95, Resulting Numbers: [43, 44, 95]
Generated Node #2: [43, 44, 95] from Operation: 12+83=95
Current State: 95:[43, 44, 95], Operations: ['12+83=95']
Exploring Operation: 44-43=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 44-43=1
Current State: 95:[95, 1], Operations: ['12+83=95', '44-43=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
1,
41,
80,
35
] | 37 | [
"41-1=40",
"80/40=2",
"35+2=37"
] | Current State: 37:[1, 41, 80, 35], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [80, 35, 40]
Generated Node #2: [80, 35, 40] from Operation: 41-1=40
Current State: 37:[80, 35, 40], Operations: ['41-1=40']
Exploring Operation: 80/40=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 80/40=2
Current State: 37:[35, 2], Operations: ['41-1=40', '80/40=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
3,
34,
83,
93
] | 18 | [
"93/3=31",
"83-34=49",
"49-31=18"
] | Current State: 18:[3, 34, 83, 93], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [34, 83, 31]
Generated Node #2: [34, 83, 31] from Operation: 93/3=31
Current State: 18:[34, 83, 31], Operations: ['93/3=31']
Exploring Operation: 83-34=49, Resulting Numbers: [31, 49]
Generated Node #3: [31, 49] from Operation: 83-34=49
Current State: 18:[31, 49], Operations: ['93/3=31', '83-34=49']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
72,
4,
2,
91
] | 53 | [
"72+4=76",
"76/2=38",
"91-38=53"
] | Current State: 53:[72, 4, 2, 91], Operations: []
Exploring Operation: 72+4=76, Resulting Numbers: [2, 91, 76]
Generated Node #2: [2, 91, 76] from Operation: 72+4=76
Current State: 53:[2, 91, 76], Operations: ['72+4=76']
Exploring Operation: 76/2=38, Resulting Numbers: [91, 38]
Generated Node #3: [91, 38] from Operation: 76/2=38
Current State: 53:[91, 38], Operations: ['72+4=76', '76/2=38']
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
31,
84,
86,
2
] | 60 | [
"31*2=62",
"86-84=2",
"62-2=60"
] | Current State: 60:[31, 84, 86, 2], Operations: []
Exploring Operation: 31*2=62, Resulting Numbers: [84, 86, 62]
Generated Node #2: [84, 86, 62] from Operation: 31*2=62
Current State: 60:[84, 86, 62], Operations: ['31*2=62']
Exploring Operation: 86-84=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 86-84=2
Current State: 60:[62, 2], Operations: ['31*2=62', '86-84=2']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
84,
28,
60,
89
] | 87 | [
"84/28=3",
"89-60=29",
"3*29=87"
] | Current State: 87:[84, 28, 60, 89], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [60, 89, 3]
Generated Node #2: [60, 89, 3] from Operation: 84/28=3
Current State: 87:[60, 89, 3], Operations: ['84/28=3']
Exploring Operation: 89-60=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 89-60=29
Current State: 87:[3, 29], Operations: ['84/28=3', '89-60=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
99,
21,
69,
23
] | 84 | [
"99+69=168",
"23-21=2",
"168/2=84"
] | Current State: 84:[99, 21, 69, 23], Operations: []
Exploring Operation: 99+69=168, Resulting Numbers: [21, 23, 168]
Generated Node #2: [21, 23, 168] from Operation: 99+69=168
Current State: 84:[21, 23, 168], Operations: ['99+69=168']
Exploring Operation: 23-21=2, Resulting Numbers: [168, 2]
Generated Node #3: [168, 2] from Operation: 23-21=2
Current State: 84:[168, 2], Operations: ['99+69=168', '23-21=2']
Exploring Operation: 168/2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
17,
82,
22,
92
] | 49 | [
"82-17=65",
"22+92=114",
"114-65=49"
] | Current State: 49:[17, 82, 22, 92], Operations: []
Exploring Operation: 82-17=65, Resulting Numbers: [22, 92, 65]
Generated Node #2: [22, 92, 65] from Operation: 82-17=65
Current State: 49:[22, 92, 65], Operations: ['82-17=65']
Exploring Operation: 22+92=114, Resulting Numbers: [65, 114]
Generated Node #3: [65, 114] from Operation: 22+92=114
Current State: 49:[65, 114], Operations: ['82-17=65', '22+92=114']
Exploring Operation: 114-65=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
71,
63,
20
] | 24 | [
"20-17=3",
"71-63=8",
"3*8=24"
] | Current State: 24:[17, 71, 63, 20], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [71, 63, 3]
Generated Node #2: [71, 63, 3] from Operation: 20-17=3
Current State: 24:[71, 63, 3], Operations: ['20-17=3']
Exploring Operation: 71-63=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 71-63=8
Current State: 24:[3, 8], Operations: ['20-17=3', '71-63=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
99,
30,
97,
98
] | 67 | [
"99-98=1",
"97-30=67",
"1*67=67"
] | Current State: 67:[99, 30, 97, 98], Operations: []
Exploring Operation: 99-98=1, Resulting Numbers: [30, 97, 1]
Generated Node #2: [30, 97, 1] from Operation: 99-98=1
Current State: 67:[30, 97, 1], Operations: ['99-98=1']
Exploring Operation: 97-30=67, Resulting Numbers: [1, 67]
Generated Node #3: [1, 67] from Operation: 97-30=67
Current State: 67:[1, 67], Operations: ['99-98=1', '97-30=67']
Exploring Operation: 1*67=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
13,
7,
9,
89
] | 63 | [
"9-7=2",
"13*2=26",
"89-26=63"
] | Current State: 63:[13, 7, 9, 89], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [13, 89, 2]
Generated Node #2: [13, 89, 2] from Operation: 9-7=2
Current State: 63:[13, 89, 2], Operations: ['9-7=2']
Exploring Operation: 13*2=26, Resulting Numbers: [89, 26]
Generated Node #3: [89, 26] from Operation: 13*2=26
Current State: 63:[89, 26], Operations: ['9-7=2', '13*2=26']
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
63,
26,
29,
10
] | 56 | [
"63-26=37",
"29-10=19",
"37+19=56"
] | Current State: 56:[63, 26, 29, 10], Operations: []
Exploring Operation: 63-26=37, Resulting Numbers: [29, 10, 37]
Generated Node #2: [29, 10, 37] from Operation: 63-26=37
Current State: 56:[29, 10, 37], Operations: ['63-26=37']
Exploring Operation: 29-10=19, Resulting Numbers: [37, 19]
Generated Node #3: [37, 19] from Operation: 29-10=19
Current State: 56:[37, 19], Operations: ['63-26=37', '29-10=19']
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
66,
36,
10,
48
] | 13 | [
"66*10=660",
"660-36=624",
"624/48=13"
] | Current State: 13:[66, 36, 10, 48], Operations: []
Exploring Operation: 66*10=660, Resulting Numbers: [36, 48, 660]
Generated Node #2: [36, 48, 660] from Operation: 66*10=660
Current State: 13:[36, 48, 660], Operations: ['66*10=660']
Exploring Operation: 660-36=624, Resulting Numbers: [48, 624]
Generated Node #3: [48, 624] from Operation: 660-36=624
Current State: 13:[48, 624], Operations: ['66*10=660', '660-36=624']
Exploring Operation: 624/48=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
6,
52,
3,
18
] | 50 | [
"6+3=9",
"18/9=2",
"52-2=50"
] | Current State: 50:[6, 52, 3, 18], Operations: []
Exploring Operation: 6+3=9, Resulting Numbers: [52, 18, 9]
Generated Node #2: [52, 18, 9] from Operation: 6+3=9
Current State: 50:[52, 18, 9], Operations: ['6+3=9']
Exploring Operation: 18/9=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 18/9=2
Current State: 50:[52, 2], Operations: ['6+3=9', '18/9=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
60,
94,
73,
47
] | 47 | [
"60*94=5640",
"73+47=120",
"5640/120=47"
] | Current State: 47:[60, 94, 73, 47], Operations: []
Exploring Operation: 60*94=5640, Resulting Numbers: [73, 47, 5640]
Generated Node #2: [73, 47, 5640] from Operation: 60*94=5640
Current State: 47:[73, 47, 5640], Operations: ['60*94=5640']
Exploring Operation: 73+47=120, Resulting Numbers: [5640, 120]
Generated Node #3: [5640, 120] from Operation: 73+47=120
Current State: 47:[5640, 120], Operations: ['60*94=5640', '73+47=120']
Exploring Operation: 5640/120=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
78,
9,
13,
52
] | 90 | [
"78+52=130",
"9*130=1170",
"1170/13=90"
] | Current State: 90:[78, 9, 13, 52], Operations: []
Exploring Operation: 78+52=130, Resulting Numbers: [9, 13, 130]
Generated Node #2: [9, 13, 130] from Operation: 78+52=130
Current State: 90:[9, 13, 130], Operations: ['78+52=130']
Exploring Operation: 9*130=1170, Resulting Numbers: [13, 1170]
Generated Node #3: [13, 1170] from Operation: 9*130=1170
Current State: 90:[13, 1170], Operations: ['78+52=130', '9*130=1170']
Exploring Operation: 1170/13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
51,
45,
44,
98
] | 60 | [
"51-45=6",
"98-44=54",
"6+54=60"
] | Current State: 60:[51, 45, 44, 98], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [44, 98, 6]
Generated Node #2: [44, 98, 6] from Operation: 51-45=6
Current State: 60:[44, 98, 6], Operations: ['51-45=6']
Exploring Operation: 98-44=54, Resulting Numbers: [6, 54]
Generated Node #3: [6, 54] from Operation: 98-44=54
Current State: 60:[6, 54], Operations: ['51-45=6', '98-44=54']
Exploring Operation: 6+54=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
69,
77,
14,
20
] | 26 | [
"77-69=8",
"14+20=34",
"34-8=26"
] | Current State: 26:[69, 77, 14, 20], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [14, 20, 8]
Generated Node #2: [14, 20, 8] from Operation: 77-69=8
Current State: 26:[14, 20, 8], Operations: ['77-69=8']
Exploring Operation: 14+20=34, Resulting Numbers: [8, 34]
Generated Node #3: [8, 34] from Operation: 14+20=34
Current State: 26:[8, 34], Operations: ['77-69=8', '14+20=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
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